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220100112232 = 237113132101173
BaseRepresentation
bin1100110011111011111…
…1010010111101101000
3210001010011012011220121
43030332333102331220
512101231112042412
6245040153133024
721621200041210
oct3147677227550
9701104164817
10220100112232
1185386859000
12367a70ba174
13179a8679700
14a91d7c7240
155ad2db8107
hex333efd2f68

220100112232 has 384 divisors, whose sum is σ = 570588261120. Its totient is φ = 77920128000.

The previous prime is 220100112229. The next prime is 220100112233. The reversal of 220100112232 is 232211001022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220100112233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1272254898 + ... + 1272255070.

It is an arithmetic number, because the mean of its divisors is an integer number (1485906930).

Almost surely, 2220100112232 is an apocalyptic number.

220100112232 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 220100112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285294130560).

220100112232 is an abundant number, since it is smaller than the sum of its proper divisors (350488148888).

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

220100112232 is a wasteful number, since it uses less digits than its factorization.

220100112232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 220100112232 its reverse (232211001022), we get a palindrome (452311113254).

The spelling of 220100112232 in words is "two hundred twenty billion, one hundred million, one hundred twelve thousand, two hundred thirty-two".