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2328998232 = 2331117717309
BaseRepresentation
bin1000101011010001…
…1011000101011000
320000022102100221210
42022310123011120
514232210420412
61023034303120
7111500105211
oct21264330530
96008370853
102328998232
11a95727930
1254bb87aa0
132b1689182
1418145a408
15d96ed83c
hex8ad1b158

2328998232 has 128 divisors (see below), whose sum is σ = 6821107200. Its totient is φ = 654796800.

The previous prime is 2328998209. The next prime is 2328998261.

2328998232 is nontrivially palindromic in base 10.

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, 314994 + ... + 322302.

It is an arithmetic number, because the mean of its divisors is an integer number (53289900).

Almost surely, 22328998232 is an apocalyptic number.

2328998232 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 2328998232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410553600).

2328998232 is an abundant number, since it is smaller than the sum of its proper divisors (4492108968).

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

2328998232 is a wasteful number, since it uses less digits than its factorization.

2328998232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7417 (or 7413 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 2328998232 is about 48259.6957304954. The cubic root of 2328998232 is about 1325.5304831113.

The spelling of 2328998232 in words is "two billion, three hundred twenty-eight million, nine hundred ninety-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 71 88 102 132 136 142 187 204 213 264 284 374 408 426 561 568 748 781 852 1122 1207 1496 1562 1704 2244 2343 2414 3124 3621 4488 4686 4828 6248 7242 7309 9372 9656 13277 14484 14618 18744 21927 26554 28968 29236 39831 43854 53108 58472 79662 80399 87708 106216 124253 159324 160798 175416 241197 248506 318648 321596 372759 482394 497012 518939 643192 745518 964788 994024 1037878 1366783 1491036 1556817 1929576 2075756 2733566 2982072 3113634 4100349 4151512 5467132 5708329 6227268 8200698 8821963 10934264 11416658 12454536 16401396 17124987 17643926 22833316 26465889 32802792 34249974 35287852 45666632 52931778 68499948 70575704 97041593 105863556 136999896 194083186 211727112 291124779 388166372 582249558 776332744 1164499116 2328998232