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2142325432 = 23132331167173
BaseRepresentation
bin111111110110001…
…0100101010111000
312112022011102000101
41333230110222320
513341413403212
6552325245144
7104042315512
oct17754245270
95468142011
102142325432
119aa317895
124b95637b4
13281ab9cb0
14164746bb2
15c8128157
hex7fb14ab8

2142325432 has 128 divisors (see below), whose sum is σ = 4714536960. Its totient is φ = 904527360.

The previous prime is 2142325417. The next prime is 2142325483. The reversal of 2142325432 is 2345232412.

It is a self number, because there is not a number n which added to its sum of digits gives 2142325432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12383298 + ... + 12383470.

It is an arithmetic number, because the mean of its divisors is an integer number (36832320).

Almost surely, 22142325432 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 2142325432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357268480).

2142325432 is an abundant number, since it is smaller than the sum of its proper divisors (2572211528).

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

2142325432 is a wasteful number, since it uses less digits than its factorization.

2142325432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 2142325432 is about 46285.2614986672. The cubic root of 2142325432 is about 1289.1253474457.

Adding to 2142325432 its reverse (2345232412), we get a palindrome (4487557844).

The spelling of 2142325432 in words is "two billion, one hundred forty-two million, three hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 31 46 52 62 92 104 124 167 173 184 248 299 334 346 403 598 668 692 713 806 1196 1336 1384 1426 1612 2171 2249 2392 2852 3224 3841 3979 4342 4498 5177 5363 5704 7682 7958 8684 8996 9269 10354 10726 15364 15916 17368 17992 18538 20708 21452 28891 30728 31832 37076 41416 42904 49933 51727 57782 67301 69719 74152 99866 103454 115564 119071 123349 134602 139438 199732 206908 231128 238142 246698 269204 278876 375583 399464 413816 476284 493396 538408 557752 664493 751166 895621 952568 986792 1328986 1502332 1547923 1603537 1791242 2657972 3004664 3095846 3207074 3582484 5315944 6191692 6414148 7164968 8638409 11643073 12383384 12828296 17276818 20599283 23286146 34553636 41198566 46572292 69107272 82397132 93144584 164794264 267790679 535581358 1071162716 2142325432