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197420256 = 253211101617
BaseRepresentation
bin10111100010001…
…10010011100000
3111202110222200100
423301012103200
5401014422011
631331222400
74615021155
oct1361062340
9452428610
10197420256
11a1490840
1256147a00
1331b93027
141c31022c
15124e9d56
hexbc464e0

197420256 has 144 divisors (see below), whose sum is σ = 619517808. Its totient is φ = 59136000.

The previous prime is 197420239. The next prime is 197420263. The reversal of 197420256 is 652024791.

197420256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 197420256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319660 + ... + 320276.

It is an arithmetic number, because the mean of its divisors is an integer number (4302207).

Almost surely, 2197420256 is an apocalyptic number.

197420256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309758904).

197420256 is an abundant number, since it is smaller than the sum of its proper divisors (422097552).

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

197420256 is a wasteful number, since it uses less digits than its factorization.

197420256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 197420256 is about 14050.6318719124. The cubic root of 197420256 is about 582.2782528893.

The spelling of 197420256 in words is "one hundred ninety-seven million, four hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 101 132 144 176 198 202 264 288 303 352 396 404 528 606 617 792 808 909 1056 1111 1212 1234 1584 1616 1818 1851 2222 2424 2468 3168 3232 3333 3636 3702 4444 4848 4936 5553 6666 6787 7272 7404 8888 9696 9872 9999 11106 13332 13574 14544 14808 17776 19744 19998 20361 22212 26664 27148 29088 29616 35552 39996 40722 44424 53328 54296 59232 61083 62317 79992 81444 88848 106656 108592 122166 124634 159984 162888 177696 186951 217184 244332 249268 319968 325776 373902 488664 498536 560853 651552 685487 747804 977328 997072 1121706 1370974 1495608 1954656 1994144 2056461 2243412 2741948 2991216 4112922 4486824 5483896 5982432 6169383 8225844 8973648 10967792 12338766 16451688 17947296 21935584 24677532 32903376 49355064 65806752 98710128 197420256