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222110130233112 = 2331113135571805549
BaseRepresentation
bin110010100000001000001011…
…011010011101111100011000
31002010102112001212101220210220
4302200020023122131330120
5213103023021314424422
62104215552445440040
764532633040356352
oct6240101332357430
91063375055356726
10222110130233112
1164853417132350
1220ab2521270020
1396c1b842a1794
143cbc28ad360d2
151aa28da672e5c
hexca020b69df18

222110130233112 has 128 divisors (see below), whose sum is σ = 610550921376000. Its totient is φ = 66773498355200.

The previous prime is 222110130233107. The next prime is 222110130233197. The reversal of 222110130233112 is 211332031011222.

It is a super-2 number, since 2×2221101302331122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122112514 + ... + 123918062.

It is an arithmetic number, because the mean of its divisors is an integer number (4769929073250).

Almost surely, 2222110130233112 is an apocalyptic number.

222110130233112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222110130233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305275460688000).

222110130233112 is an abundant number, since it is smaller than the sum of its proper divisors (388440791142888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222110130233112 is a wasteful number, since it uses less digits than its factorization.

222110130233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809257 (or 1809253 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 222110130233112 its reverse (211332031011222), we get a palindrome (433442161244334).

The spelling of 222110130233112 in words is "two hundred twenty-two trillion, one hundred ten billion, one hundred thirty million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 2882 3144 3557 4323 5764 7114 8646 10671 11528 14228 17292 21342 28456 34584 39127 42684 78254 85368 117381 156508 234762 313016 465967 469524 931934 939048 1397901 1805549 1863868 2795802 3611098 3727736 5125637 5416647 5591604 7222196 10251274 10833294 11183208 14444392 15376911 19861039 20502548 21666588 30753822 39722078 41005096 43333176 59583117 61507644 79444156 119166234 123015288 158888312 236526919 238332468 473053838 476664936 709580757 946107676 1419161514 1892215352 2601796109 2838323028 5203592218 5676646056 6422337793 7805388327 10407184436 12844675586 15610776654 19267013379 20814368872 25689351172 31221553308 38534026758 51378702344 62443106616 70645715723 77068053516 141291431446 154136107032 211937147169 282582862892 423874294338 565165725784 841326250883 847748588676 1682652501766 1695497177352 2523978752649 3365305003532 5047957505298 6730610007064 9254588759713 10095915010596 18509177519426 20191830021192 27763766279139 37018355038852 55527532558278 74036710077704 111055065116556 222110130233112