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232221220000 = 25547111011493
BaseRepresentation
bin1101100001000101110…
…1101001110010100000
3211012101220012020212221
43120101131221302200
512301042113020000
6254403030400424
722530441541630
oct3302135516240
9735356166787
10232221220000
118a536908740
123900a500114
1318b8a935423
14b34d52c6c0
1560920ac61a
hex3611769ca0

232221220000 has 480 divisors, whose sum is σ = 719802889344. Its totient is φ = 71616000000.

The previous prime is 232221219977. The next prime is 232221220013. The reversal of 232221220000 is 22122232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155539254 + ... + 155540746.

Almost surely, 2232221220000 is an apocalyptic number.

232221220000 is a gapful number since it is divisible by the number (20) 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 232221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359901444672).

232221220000 is an abundant number, since it is smaller than the sum of its proper divisors (487581669344).

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

232221220000 is a wasteful number, since it uses less digits than its factorization.

232221220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 232221220000 its reverse (22122232), we get a palindrome (232243342232).

The spelling of 232221220000 in words is "two hundred thirty-two billion, two hundred twenty-one million, two hundred twenty thousand".