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223502242000104 = 233219895315602669
BaseRepresentation
bin110010110100011000101011…
…101111011010110011101000
31002022100121100112021221212200
4302310120223233122303220
5213243330042423000404
62111203302412140200
765035334624220504
oct6264305357326350
91068317315257780
10223502242000104
116523a84aa10401
1221098294767660
13979322b868c52
143d297cda4d304
151ac8c16013839
hexcb462bbdace8

223502242000104 has 48 divisors (see below), whose sum is σ = 605321653400100. Its totient is φ = 74500368094464.

The previous prime is 223502242000027. The next prime is 223502242000183. The reversal of 223502242000104 is 401000242205322.

223502242000104 is a `hidden beast` number, since 2 + 2 + 350 + 2 + 2 + 4 + 200 + 0 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138344596952004 + 85157645048100 = 11761998^2 + 9228090^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6523282 + ... + 22125950.

Almost surely, 2223502242000104 is an apocalyptic number.

223502242000104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223502242000104 is an abundant number, since it is smaller than the sum of its proper divisors (381819411399996).

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

223502242000104 is a wasteful number, since it uses less digits than its factorization.

223502242000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15801634 (or 15801627 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 223502242000104 its reverse (401000242205322), we get a palindrome (624502484205426).

The spelling of 223502242000104 in words is "two hundred twenty-three trillion, five hundred two billion, two hundred forty-two million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 198953 397906 596859 795812 1193718 1591624 1790577 2387436 3581154 4774872 7162308 14324616 15602669 31205338 46808007 62410676 93616014 124821352 140424021 187232028 280848042 374464056 561696084 1123392168 3104197805557 6208395611114 9312593416671 12416791222228 18625186833342 24833582444456 27937780250013 37250373666684 55875560500026 74500747333368 111751121000052 223502242000104