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224132868072 = 23332693857443
BaseRepresentation
bin1101000010111101011…
…1000010011111101000
3210102112012112101221000
43100233113002133220
512133011003234242
6250544253115000
722123135641651
oct3205727023750
9712465471830
10224132868072
1187066185173
1237531788a60
131819bcc9579
14abc3226528
155c6be5da4c
hex342f5c27e8

224132868072 has 64 divisors (see below), whose sum is σ = 624905928000. Its totient is φ = 74433200832.

The previous prime is 224132868031. The next prime is 224132868131. The reversal of 224132868072 is 270868231422.

224132868072 is a `hidden beast` number, since 2 + 241 + 328 + 6 + 80 + 7 + 2 = 666.

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, 1870618 + ... + 1986825.

It is an arithmetic number, because the mean of its divisors is an integer number (9764155125).

Almost surely, 2224132868072 is an apocalyptic number.

It is an amenable number.

224132868072 is an abundant number, since it is smaller than the sum of its proper divisors (400773059928).

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

224132868072 is a wasteful number, since it uses less digits than its factorization.

224132868072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857727 (or 3857717 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 224132868072 in words is "two hundred twenty-four billion, one hundred thirty-two million, eight hundred sixty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 269 538 807 1076 1614 2152 2421 3228 4842 6456 7263 9684 14526 19368 29052 58104 3857443 7714886 11572329 15429772 23144658 30859544 34716987 46289316 69433974 92578632 104150961 138867948 208301922 277735896 416603844 833207688 1037652167 2075304334 3112956501 4150608668 6225913002 8301217336 9338869503 12451826004 18677739006 24903652008 28016608509 37355478012 56033217018 74710956024 112066434036 224132868072