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223113313020096 = 26321501972578943
BaseRepresentation
bin110010101110101110011101…
…110001000110100011000000
31002020222102110101210200020100
4302232232131301012203000
5213220442031113120341
62110304501354242400
764665255613354632
oct6256563561064300
91066872411720210
10223113313020096
11650aa908714204
1221034a31126400
139765658a90115
143d14a55d66a52
151abda515373b6
hexcaeb9dc468c0

223113313020096 has 84 divisors (see below), whose sum is σ = 639518533235712. Its totient is φ = 74370580345344.

The previous prime is 223113313020089. The next prime is 223113313020107. The reversal of 223113313020096 is 690020313311322.

223113313020096 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 1 + 331 + 30 + 200 + 96 = 666.

It is a super-3 number, since 3×2231133130200963 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 223113313020096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85224001 + ... + 87802943.

Almost surely, 2223113313020096 is an apocalyptic number.

It is an amenable number.

223113313020096 is an abundant number, since it is smaller than the sum of its proper divisors (416405220215616).

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

223113313020096 is a wasteful number, since it uses less digits than its factorization.

223113313020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729158 (or 2729145 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 223113313020096 in words is "two hundred twenty-three trillion, one hundred thirteen billion, three hundred thirteen million, twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 150197 300394 450591 600788 901182 1201576 1351773 1802364 2403152 2578943 2703546 3604728 4806304 5157886 5407092 7209456 7736829 9612608 10315772 10814184 14418912 15473658 20631544 21628368 23210487 28837824 30947316 41263088 43256736 46420974 61894632 82526176 86513472 92841948 123789264 165052352 185683896 247578528 371367792 495157056 742735584 1485471168 387349501771 774699003542 1162048505313 1549398007084 2324097010626 3098796014168 3486145515939 4648194021252 6197592028336 6972291031878 9296388042504 12395184056672 13944582063756 18592776085008 24790368113344 27889164127512 37185552170016 55778328255024 74371104340032 111556656510048 223113313020096