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643222656 = 27321929387
BaseRepresentation
bin100110010101101…
…100110010000000
31122211100002121100
4212111230302000
52304131111111
6143454254400
721640205466
oct4625546200
91584302540
10643222656
1130009a77a
1215b4b7400
13a335022b
14615d8836
153b709756
hex2656cc80

643222656 has 96 divisors (see below), whose sum is σ = 1948424400. Its totient is φ = 203116032.

The previous prime is 643222651. The next prime is 643222667. The reversal of 643222656 is 656222346.

643222656 is a `hidden beast` number, since 643 + 2 + 2 + 2 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 643222656.

It is not an unprimeable number, because it can be changed into a prime (643222651) 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, 7195 + ... + 36581.

Almost surely, 2643222656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974212200).

643222656 is an abundant number, since it is smaller than the sum of its proper divisors (1305201744).

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

643222656 is a wasteful number, since it uses less digits than its factorization.

643222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29426 (or 29411 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 643222656 is about 25361.8346339534. The cubic root of 643222656 is about 863.2179136741.

The spelling of 643222656 in words is "six hundred forty-three million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 29387 58774 88161 117548 176322 235096 264483 352644 470192 528966 558353 705288 940384 1057932 1116706 1410576 1675059 1880768 2115864 2233412 2821152 3350118 3761536 4231728 4466824 5025177 5642304 6700236 8463456 8933648 10050354 11284608 13400472 16926912 17867296 20100708 26800944 33853824 35734592 40201416 53601888 71469184 80402832 107203776 160805664 214407552 321611328 643222656