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221534456107152 = 24323257780798709
BaseRepresentation
bin110010010111110000000010…
…100011111101000010010000
31002001101111011010222022011110
4302113300002203331002100
5213014110031230412102
62103055305115213320
764443223225134036
oct6227600243750220
91061344133868143
10221534456107152
1164651265098a91
1220a1aa41147240
13967c7c02ca3a6
143c9c4796b8556
151a9294621686c
hexc97c028fd090

221534456107152 has 80 divisors (see below), whose sum is σ = 599503495927680. Its totient is φ = 70359333175296.

The previous prime is 221534456107121. The next prime is 221534456107169. The reversal of 221534456107152 is 251701654435122.

It is a super-2 number, since 2×2215344561071522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 390115627 + ... + 390683082.

It is an arithmetic number, because the mean of its divisors is an integer number (7493793699096).

Almost surely, 2221534456107152 is an apocalyptic number.

It is an amenable number.

221534456107152 is an abundant number, since it is smaller than the sum of its proper divisors (377969039820528).

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

221534456107152 is a wasteful number, since it uses less digits than its factorization.

221534456107152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780799000 (or 780798994 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 221534456107152 in words is "two hundred twenty-one trillion, five hundred thirty-four billion, four hundred fifty-six million, one hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 257 276 368 514 552 771 1028 1104 1542 2056 3084 4112 5911 6168 11822 12336 17733 23644 35466 47288 70932 94576 141864 283728 780798709 1561597418 2342396127 3123194836 4684792254 6246389672 9369584508 12492779344 17958370307 18739169016 35916740614 37478338032 53875110921 71833481228 107750221842 143666962456 200665268213 215500443684 287333924912 401330536426 431000887368 601995804639 802661072852 862001774736 1203991609278 1605322145704 2407983218556 3210644291408 4615301168899 4815966437112 9230602337798 9631932874224 13845903506697 18461204675596 27691807013394 36922409351192 55383614026788 73844818702384 110767228053576 221534456107152