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643222840 = 235135323339
BaseRepresentation
bin100110010101101…
…100110100111000
31122211100002212011
4212111230310320
52304131112330
6143454255304
721640206151
oct4625546470
91584302764
10643222840
1130009a927
1215b4b7534
13a3350340
14615d8928
153b70982a
hex2656cd38

643222840 has 64 divisors (see below), whose sum is σ = 1588053600. Its totient is φ = 233006592.

The previous prime is 643222831. The next prime is 643222841. The reversal of 643222840 is 48222346.

643222840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643222841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15891 + ... + 39229.

Almost surely, 2643222840 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 643222840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794026800).

643222840 is an abundant number, since it is smaller than the sum of its proper divisors (944830760).

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

643222840 is a wasteful number, since it uses less digits than its factorization.

643222840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23416 (or 23412 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 643222840 is about 25361.8382614510. The cubic root of 643222840 is about 863.2179959847.

The spelling of 643222840 in words is "six hundred forty-three million, two hundred twenty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1378 2120 2756 3445 5512 6890 13780 23339 27560 46678 93356 116695 186712 233390 303407 466780 606814 933560 1213628 1236967 1517035 2427256 2473934 3034070 4947868 6068140 6184835 9895736 12136280 12369670 16080571 24739340 32161142 49478680 64322284 80402855 128644568 160805710 321611420 643222840