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2131022432 = 257111018563
BaseRepresentation
bin111111100000100…
…1101001001100000
312111111220011012202
41333001031021200
513331020204212
6551243112332
7103544251250
oct17701151140
95444804182
102131022432
119a39a7770
124b58126a8
1327c660326
14163043960
15c71440c2
hex7f04d260

2131022432 has 96 divisors (see below), whose sum is σ = 5283097344. Its totient is φ = 821952000.

The previous prime is 2131022419. The next prime is 2131022447. The reversal of 2131022432 is 2342201312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244583 + ... + 253145.

It is an arithmetic number, because the mean of its divisors is an integer number (55032264).

Almost surely, 22131022432 is an apocalyptic number.

2131022432 is a gapful number since it is divisible by the number (22) 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 2131022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641548672).

2131022432 is an abundant number, since it is smaller than the sum of its proper divisors (3152074912).

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

2131022432 is a wasteful number, since it uses less digits than its factorization.

2131022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2131022432 is about 46162.9985161276. The cubic root of 2131022432 is about 1286.8541884718.

Adding to 2131022432 its reverse (2342201312), we get a palindrome (4473223744).

The spelling of 2131022432 in words is "two billion, one hundred thirty-one million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 101 112 154 176 202 224 308 352 404 616 707 808 1111 1232 1414 1616 2222 2464 2828 3232 4444 5656 7777 8563 8888 11312 15554 17126 17776 22624 31108 34252 35552 59941 62216 68504 94193 119882 124432 137008 188386 239764 248864 274016 376772 479528 659351 753544 864863 959056 1318702 1507088 1729726 1918112 2637404 3014176 3459452 5274808 6054041 6918904 9513493 10549616 12108082 13837808 19026986 21099232 24216164 27675616 38053972 48432328 66594451 76107944 96864656 133188902 152215888 193729312 266377804 304431776 532755608 1065511216 2131022432