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2190970256 = 241971831223
BaseRepresentation
bin1000001010010111…
…1000110110010000
312122200200211011112
42002211320312100
513441342022011
61001224032452
7105202640246
oct20245706620
95580624145
102190970256
11a24822422
12511902728
1328bbbc607
1416adaa796
15cc53658b
hex82978d90

2190970256 has 80 divisors (see below), whose sum is σ = 4589706240. Its totient is φ = 1010056320.

The previous prime is 2190970241. The next prime is 2190970289. The reversal of 2190970256 is 6520790912.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1790861 + ... + 1792083.

It is an arithmetic number, because the mean of its divisors is an integer number (57371328).

Almost surely, 22190970256 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 2190970256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294853120).

2190970256 is an abundant number, since it is smaller than the sum of its proper divisors (2398735984).

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

2190970256 is a wasteful number, since it uses less digits than its factorization.

2190970256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 2190970256 is about 46807.8012301368. The cubic root of 2190970256 is about 1298.8096116947.

The spelling of 2190970256 in words is "two billion, one hundred ninety million, nine hundred seventy thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 71 76 83 142 152 166 284 304 332 568 664 1136 1223 1328 1349 1577 2446 2698 3154 4892 5396 5893 6308 9784 10792 11786 12616 19568 21584 23237 23572 25232 46474 47144 86833 92948 94288 101509 111967 173666 185896 203018 223934 347332 371792 406036 447868 694664 812072 895736 1389328 1624144 1649827 1791472 1928671 3299654 3857342 6599308 7207139 7714684 13198616 14414278 15429368 26397232 28828556 30858736 57657112 115314224 136935641 273871282 547742564 1095485128 2190970256