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212263152552 = 233211268009031
BaseRepresentation
bin1100010110101111011…
…1101010101110101000
3202021212222120101021200
43011223313222232220
511434203331340202
6241302400004200
721223036012233
oct3055367525650
9667788511250
10212263152552
118202501a220
123517a600660
1317029b4cb69
14a3b8a4041a
1557c4d75e1c
hex316bdeaba8

212263152552 has 48 divisors (see below), whose sum is σ = 627141134880. Its totient is φ = 64322167200.

The previous prime is 212263152551. The next prime is 212263152553. The reversal of 212263152552 is 255251362212.

212263152552 is a `hidden beast` number, since 2 + 1 + 2 + 26 + 31 + 52 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (212263152551) and next prime (212263152553).

It is a super-2 number, since 2×2122631525522 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (212263152551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134003724 + ... + 134005307.

It is an arithmetic number, because the mean of its divisors is an integer number (13065440310).

Almost surely, 2212263152552 is an apocalyptic number.

212263152552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212263152552 is an abundant number, since it is smaller than the sum of its proper divisors (414877982328).

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

212263152552 is a wasteful number, since it uses less digits than its factorization.

212263152552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268009054 (or 268009047 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 212263152552 in words is "two hundred twelve billion, two hundred sixty-three million, one hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 268009031 536018062 804027093 1072036124 1608054186 2144072248 2412081279 2948099341 3216108372 4824162558 5896198682 6432216744 8844298023 9648325116 11792397364 17688596046 19296650232 23584794728 26532894069 35377192092 53065788138 70754384184 106131576276 212263152552