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221222112232 = 2311107145916103
BaseRepresentation
bin1100111000000111011…
…1011000101111101000
3210011000100102200120011
43032001313120233220
512111030330042412
6245343353341304
721661042633222
oct3160167305750
9704010380504
10221222112232
118590212a230
1236a5aa07834
1317b26c60c34
14a9c8811412
155b4b6477a7
hex3381dd8be8

221222112232 has 64 divisors (see below), whose sum is σ = 457070169600. Its totient is φ = 99541275840.

The previous prime is 221222112229. The next prime is 221222112289. The reversal of 221222112232 is 232211222122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13729893 + ... + 13745995.

It is an arithmetic number, because the mean of its divisors is an integer number (7141721400).

Almost surely, 2221222112232 is an apocalyptic number.

221222112232 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 221222112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228535084800).

221222112232 is an abundant number, since it is smaller than the sum of its proper divisors (235848057368).

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

221222112232 is a wasteful number, since it uses less digits than its factorization.

221222112232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17686 (or 17682 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

Adding to 221222112232 its reverse (232211222122), we get a palindrome (453433334354).

The spelling of 221222112232 in words is "two hundred twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 107 214 428 856 1177 1459 2354 2918 4708 5836 9416 11672 16049 16103 32098 32206 64196 64412 128392 128824 156113 177133 312226 354266 624452 708532 1248904 1417064 1717243 1723021 3434486 3446042 6868972 6892084 13737944 13784168 18953231 23494277 37906462 46988554 75812924 93977108 151625848 187954216 258437047 516874094 1033748188 2067496376 2513887639 5027775278 10055550556 20111101112 27652764029 55305528058 110611056116 221222112232