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2268929688 = 2331937891511
BaseRepresentation
bin1000011100111101…
…0001111010011000
312212010101120101220
42013033101322120
514121321222223
61013051012040
7110140404234
oct20717217230
95763346356
102268929688
11a6482a503
12533a3a020
132a20b6c5c
141774a15c4
15d42d56e3
hex873d1e98

2268929688 has 128 divisors (see below), whose sum is σ = 6205248000. Its totient is φ = 688849920.

The previous prime is 2268929687. The next prime is 2268929693. The reversal of 2268929688 is 8869298622.

2268929688 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268929687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1500853 + ... + 1502363.

It is an arithmetic number, because the mean of its divisors is an integer number (48478500).

Almost surely, 22268929688 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 2268929688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102624000).

2268929688 is an abundant number, since it is smaller than the sum of its proper divisors (3936318312).

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

2268929688 is a wasteful number, since it uses less digits than its factorization.

2268929688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1661 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 60.

The square root of 2268929688 is about 47633.2834056188. The cubic root of 2268929688 is about 1314.0352406516.

The spelling of 2268929688 in words is "two billion, two hundred sixty-eight million, nine hundred twenty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 89 111 114 148 152 178 222 228 267 296 356 444 456 534 703 712 888 1068 1406 1511 1691 2109 2136 2812 3022 3293 3382 4218 4533 5073 5624 6044 6586 6764 8436 9066 9879 10146 12088 13172 13528 16872 18132 19758 20292 26344 28709 36264 39516 40584 55907 57418 62567 79032 86127 111814 114836 125134 134479 167721 172254 187701 223628 229672 250268 268958 335442 344508 375402 403437 447256 500536 537916 670884 689016 750804 806874 1062233 1075832 1341768 1501608 1613748 2124466 2555101 3186699 3227496 4248932 4975723 5110202 6373398 7665303 8497864 9951446 10220404 12746796 14927169 15330606 19902892 20440808 25493592 29854338 30661212 39805784 59708676 61322424 94538737 119417352 189077474 283616211 378154948 567232422 756309896 1134464844 2268929688