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2157731660 = 2257223293301
BaseRepresentation
bin1000000010011100…
…0101111101001100
312120101011010101102
42000213011331030
513404334403120
6554035402232
7104320262600
oct20047057514
95511133342
102157731660
11a07a8a807
12502753378
132850524c6
141667d7500
15c966cd75
hex809c5f4c

2157731660 has 144 divisors (see below), whose sum is σ = 5691591360. Its totient is φ = 683020800.

The previous prime is 2157731659. The next prime is 2157731669. The reversal of 2157731660 is 661377512.

It is not an unprimeable number, because it can be changed into a prime (2157731669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652010 + ... + 655310.

It is an arithmetic number, because the mean of its divisors is an integer number (39524940).

Almost surely, 22157731660 is an apocalyptic number.

2157731660 is a gapful number since it is divisible by the number (20) 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 2157731660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845795680).

2157731660 is an abundant number, since it is smaller than the sum of its proper divisors (3533859700).

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

2157731660 is a wasteful number, since it uses less digits than its factorization.

2157731660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 2157731660 is about 46451.3902913573. The cubic root of 2157731660 is about 1292.2081564185.

The spelling of 2157731660 in words is "two billion, one hundred fifty-seven million, seven hundred thirty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 29 35 46 49 58 70 92 98 115 116 140 145 161 196 203 230 245 290 322 406 460 490 580 644 667 805 812 980 1015 1127 1334 1421 1610 2030 2254 2668 2842 3220 3301 3335 4060 4508 4669 5635 5684 6602 6670 7105 9338 11270 13204 13340 14210 16505 18676 22540 23107 23345 28420 32683 33010 46214 46690 65366 66020 75923 92428 93380 95729 115535 130732 151846 161749 163415 191458 231070 303692 323498 326830 379615 382916 462140 478645 531461 646996 653660 670103 759230 808745 957290 1062922 1340206 1518460 1617490 1914580 2125844 2201767 2657305 2680412 3234980 3350515 3720227 4403534 4690721 5314610 6701030 7440454 8807068 9381442 10629220 11008835 13402060 14880908 15412369 18601135 18762884 22017670 23453605 30824738 37202270 44035340 46907210 61649476 74404540 77061845 93814420 107886583 154123690 215773166 308247380 431546332 539432915 1078865830 2157731660