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2163738256 = 242924012
BaseRepresentation
bin1000000011111000…
…0000011010010000
312120210110021212221
42000332000122100
513412404111011
6554412230424
7104422320541
oct20076003220
95523407787
102163738256
11a10412639
1250476b414
132863764c4
1416751c4c8
15c9e57971
hex80f80690

2163738256 has 45 divisors (see below), whose sum is σ = 4352642203. Its totient is φ = 1041958400.

The previous prime is 2163738233. The next prime is 2163738263. The reversal of 2163738256 is 6528373612.

The square root of 2163738256 is 46516.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 919059856 + 1244678400 = 30316^2 + 35280^2 .

It is a Duffinian number.

Its product of digits (362880) is a multiple of the sum of its prime divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5395656 + ... + 5396056.

Almost surely, 22163738256 is an apocalyptic number.

2163738256 is the 46516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163738256

2163738256 is an abundant number, since it is smaller than the sum of its proper divisors (2188903947).

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

2163738256 is an frugal number, since it uses more digits than its factorization.

2163738256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 432 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The cubic root of 2163738256 is about 1293.4061090825.

The spelling of 2163738256 in words is "two billion, one hundred sixty-three million, seven hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 116 232 401 464 802 841 1604 1682 3208 3364 6416 6728 11629 13456 23258 46516 93032 160801 186064 321602 337241 643204 674482 1286408 1348964 2572816 2697928 4663229 5395856 9326458 18652916 37305832 74611664 135233641 270467282 540934564 1081869128 2163738256