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402220256 = 25293671181
BaseRepresentation
bin10111111110010…
…110010011100000
31001000211220110112
4113332112103200
51310432022011
6103524550452
712652546544
oct2776262340
91030756415
10402220256
11197052039
12b2852428
136543b069
143b5c1a24
15254a158b
hex17f964e0

402220256 has 48 divisors (see below), whose sum is σ = 822104640. Its totient is φ = 193482240.

The previous prime is 402220213. The next prime is 402220261. The reversal of 402220256 is 652022204.

It is a super-2 number, since 2×4022202562 = 323562268673411072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339986 + ... + 341166.

It is an arithmetic number, because the mean of its divisors is an integer number (17127180).

Almost surely, 2402220256 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 402220256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411052320).

402220256 is an abundant number, since it is smaller than the sum of its proper divisors (419884384).

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

402220256 is a wasteful number, since it uses less digits than its factorization.

402220256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 402220256 is about 20055.4295890165. The cubic root of 402220256 is about 738.1670340161.

The spelling of 402220256 in words is "four hundred two million, two hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 367 464 734 928 1181 1468 2362 2936 4724 5872 9448 10643 11744 18896 21286 34249 37792 42572 68498 85144 136996 170288 273992 340576 433427 547984 866854 1095968 1733708 3467416 6934832 12569383 13869664 25138766 50277532 100555064 201110128 402220256