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2330131232 = 2511133371511
BaseRepresentation
bin1000101011100010…
…1111101100100000
320000101112221010202
42022320233230200
514233003144412
61023114444332
7111512534342
oct21270575440
96011487122
102330131232
11a963310a0
125504336a8
132b1994aa0
14181673292
15d98743c2
hex8ae2fb20

2330131232 has 96 divisors (see below), whose sum is σ = 5409016704. Its totient is φ = 974131200.

The previous prime is 2330131211. The next prime is 2330131241. The reversal of 2330131232 is 2321310332.

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, 1541357 + ... + 1542867.

It is an arithmetic number, because the mean of its divisors is an integer number (56343924).

Almost surely, 22330131232 is an apocalyptic number.

2330131232 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 2330131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704508352).

2330131232 is an abundant number, since it is smaller than the sum of its proper divisors (3078885472).

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

2330131232 is a wasteful number, since it uses less digits than its factorization.

2330131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2330131232 is about 48271.4328770133. The cubic root of 2330131232 is about 1325.7453941903.

Adding to 2330131232 its reverse (2321310332), we get a palindrome (4651441564).

Subtracting from 2330131232 its reverse (2321310332), we obtain a square (8820900 = 29702).

The spelling of 2330131232 in words is "two billion, three hundred thirty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 337 352 416 572 674 1144 1348 1511 2288 2696 3022 3707 4381 4576 5392 6044 7414 8762 10784 12088 14828 16621 17524 19643 24176 29656 33242 35048 39286 48191 48352 59312 66484 70096 78572 96382 118624 132968 140192 157144 192764 216073 265936 314288 385528 432146 509207 531872 628576 771056 864292 1018414 1542112 1728584 2036828 3457168 4073656 5601277 6619691 6914336 8147312 11202554 13239382 16294624 22405108 26478764 44810216 52957528 72816601 89620432 105915056 145633202 179240864 211830112 291266404 582532808 1165065616 2330131232