Search a number
-
+
283055920900 = 22528326412
BaseRepresentation
bin1000001111001110111…
…00101001011100000100
31000001121122122121212221
410013213130221130010
514114144303432100
6334011210422124
726310250425664
oct4074734513404
91001548577787
10283055920900
11aa052762945
1246a36a31944
13208cc5b78bc
14d9b2a5c1a4
157569d8101a
hex41e7729704

283055920900 has 81 divisors (see below), whose sum is σ = 622692323743. Its totient is φ = 111683737600.

The previous prime is 283055920897. The next prime is 283055920907. The reversal of 283055920900 is 9029550382.

It is a happy number.

The square root of 283055920900 is 532030.

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 29064112324 + 253991808576 = 170482^2 + 503976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (283055920907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 441584580 + ... + 441585220.

Almost surely, 2283055920900 is an apocalyptic number.

283055920900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

283055920900 is the 532030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283055920900

283055920900 is an abundant number, since it is smaller than the sum of its proper divisors (339636402843).

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

283055920900 is an frugal number, since it uses more digits than its factorization.

283055920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 283055920900 in words is "two hundred eighty-three billion, fifty-five million, nine hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 641 830 1282 1660 2075 2564 3205 4150 6410 6889 8300 12820 13778 16025 27556 32050 34445 53203 64100 68890 106406 137780 172225 212812 266015 344450 410881 532030 688900 821762 1064060 1330075 1643524 2054405 2660150 4108810 4415849 5320300 8217620 8831698 10272025 17663396 20544050 22079245 34103123 41088100 44158490 68206246 88316980 110396225 136412492 170515615 220792450 341031230 441584900 682062460 852578075 1705156150 2830559209 3410312300 5661118418 11322236836 14152796045 28305592090 56611184180 70763980225 141527960450 283055920900