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212400047232 = 273361458347
BaseRepresentation
bin1100010111010000000…
…1111000010010000000
3202022020112011100111000
43011310001320102000
511434443403002412
6241324130052000
721226320420132
oct3056401702200
9668215140430
10212400047232
118209532021a
12351b841a000
131704c310929
14a3cccb7052
1557d1db74dc
hex3174078480

212400047232 has 64 divisors (see below), whose sum is σ = 626875149600. Its totient is φ = 70800014592.

The previous prime is 212400047219. The next prime is 212400047239. The reversal of 212400047232 is 232740004212.

212400047232 is a `hidden beast` number, since 21 + 2 + 400 + 0 + 4 + 7 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2124000472322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212400047196 and 212400047205.

It is not an unprimeable number, because it can be changed into a prime (212400047239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30725718 + ... + 30732629.

Almost surely, 2212400047232 is an apocalyptic number.

It is an amenable number.

212400047232 is an abundant number, since it is smaller than the sum of its proper divisors (414475102368).

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

212400047232 is an equidigital number, since it uses as much as digits as its factorization.

212400047232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61458370 (or 61458352 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 212400047232 in words is "two hundred twelve billion, four hundred million, forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 61458347 122916694 184375041 245833388 368750082 491666776 553125123 737500164 983333552 1106250246 1475000328 1659375369 1966667104 2212500492 2950000656 3318750738 3933334208 4425000984 5900001312 6637501476 7866668416 8850001968 11800002624 13275002952 17700003936 23600005248 26550005904 35400007872 53100011808 70800015744 106200023616 212400047232