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2151339828 = 22311219292689
BaseRepresentation
bin1000000000111010…
…1101011100110100
312112221010101102220
42000032231130310
513401220333303
6553250402340
7104212041531
oct20016553464
95487111386
102151339828
11a04414500
125005903b0
13283925061
14165a11d88
15c8d09053
hex803ad734

2151339828 has 144 divisors (see below), whose sum is σ = 6010536000. Its totient is φ = 596090880.

The previous prime is 2151339793. The next prime is 2151339859. The reversal of 2151339828 is 8289331512.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2151339828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798708 + ... + 801396.

Almost surely, 22151339828 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 2151339828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005268000).

2151339828 is an abundant number, since it is smaller than the sum of its proper divisors (3859196172).

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

2151339828 is a wasteful number, since it uses less digits than its factorization.

2151339828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2753 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 2151339828 is about 46382.5379641951. The cubic root of 2151339828 is about 1290.9309282985.

The spelling of 2151339828 in words is "two billion, one hundred fifty-one million, three hundred thirty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 29 33 38 44 57 58 66 76 87 114 116 121 132 174 209 228 242 319 348 363 418 484 551 627 638 726 836 957 1102 1254 1276 1452 1653 1914 2204 2299 2508 2689 3306 3509 3828 4598 5378 6061 6612 6897 7018 8067 9196 10527 10756 12122 13794 14036 16134 18183 21054 24244 27588 29579 32268 36366 42108 51091 59158 66671 72732 77981 88737 102182 118316 133342 153273 155962 177474 200013 204364 233943 266684 306546 311924 325369 354948 400026 467886 562001 613092 650738 800052 857791 935772 976107 1124002 1301476 1481639 1686003 1715582 1952214 2248004 2573373 2963278 3372006 3431164 3904428 4444917 5146746 5926556 6182011 6744012 8889834 9435701 10293492 12364022 16298029 17779668 18546033 18871402 24728044 28307103 32596058 37092066 37742804 48894087 56614206 65192116 74184132 97788174 113228412 179278319 195576348 358556638 537834957 717113276 1075669914 2151339828