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22332221214112 = 2523593791356947
BaseRepresentation
bin1010001001111101000000…
…00111001100110110100000
32221001221100220010122200101
411010332200013030312200
510411342342112322422
6115255140352432144
74463310155164135
oct504764007146640
987057326118611
1022332221214112
117130050748197
122608173848654
13c5cbc4c8a374
14572c5729858c
1528ada4158c27
hex144fa01ccda0

22332221214112 has 96 divisors (see below), whose sum is σ = 46778882572800. Its totient is φ = 10471888804608.

The previous prime is 22332221214109. The next prime is 22332221214179. The reversal of 22332221214112 is 21141212223322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15779223 + ... + 17136169.

It is an arithmetic number, because the mean of its divisors is an integer number (487280026800).

Almost surely, 222332221214112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22332221214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23389441286400).

22332221214112 is an abundant number, since it is smaller than the sum of its proper divisors (24446661358688).

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

22332221214112 is a wasteful number, since it uses less digits than its factorization.

22332221214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357418 (or 1357410 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 22332221214112 its reverse (21141212223322), we get a palindrome (43473433437434).

The spelling of 22332221214112 in words is "twenty-two trillion, three hundred thirty-two billion, two hundred twenty-one million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 368 379 472 736 758 944 1357 1516 1888 2714 3032 5428 6064 8717 10856 12128 17434 21712 22361 34868 43424 44722 69736 89444 139472 178888 278944 357776 514303 715552 1028606 1356947 2057212 2713894 4114424 5427788 8228848 10855576 16457696 21711152 31209781 43422304 62419562 80059873 124839124 160119746 249678248 320239492 499356496 514282913 640478984 998712992 1028565826 1280957968 1841377079 2057131652 2561915936 3682754158 4114263304 7365508316 8228526608 11828506999 14731016632 16457053216 23657013998 29462033264 30342691867 47314027996 58924066528 60685383734 94628055992 121370767468 189256111984 242741534936 378512223968 485483069872 697881912941 970966139744 1395763825882 2791527651764 5583055303528 11166110607056 22332221214112