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2330031132 = 223211134391031
BaseRepresentation
bin1000101011100001…
…0111010000011100
320000101100211211100
42022320113100130
514232441444012
61023112353100
7111511636452
oct21270272034
96011324740
102330031132
11a96272970
125503a5790
132b195b360
141816489d2
15d98548dc
hex8ae1741c

2330031132 has 144 divisors (see below), whose sum is σ = 6941975040. Its totient is φ = 649641600.

The previous prime is 2330031113. The next prime is 2330031163. The reversal of 2330031132 is 2311300332.

2330031132 is a `hidden beast` number, since 23 + 300 + 311 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2259457 + ... + 2260487.

It is an arithmetic number, because the mean of its divisors is an integer number (48208160).

Almost surely, 22330031132 is an apocalyptic number.

2330031132 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 2330031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470987520).

2330031132 is an abundant number, since it is smaller than the sum of its proper divisors (4611943908).

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

2330031132 is a wasteful number, since it uses less digits than its factorization.

2330031132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2330031132 is about 48270.3960207496. The cubic root of 2330031132 is about 1325.7264097067.

Adding to 2330031132 its reverse (2311300332), we get a palindrome (4641331464).

The spelling of 2330031132 in words is "two billion, three hundred thirty million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 439 468 572 858 878 1031 1287 1317 1716 1756 2062 2574 2634 3093 3951 4124 4829 5148 5268 5707 6186 7902 9279 9658 11341 11414 12372 13403 14487 15804 17121 18558 19316 22682 22828 26806 28974 34023 34242 37116 40209 43461 45364 51363 53612 57948 62777 68046 68484 80418 86922 102069 102726 120627 125554 136092 147433 160836 173844 188331 204138 205452 241254 251108 294866 376662 408276 442299 452609 482508 564993 589732 753324 884598 905218 1129986 1326897 1357827 1769196 1810436 2259972 2653794 2715654 4073481 4978699 5307588 5431308 5883917 8146962 9957398 11767834 14936097 16293924 17651751 19914796 23535668 29872194 35303502 44808291 52955253 59744388 64723087 70607004 89616582 105910506 129446174 179233164 194169261 211821012 258892348 388338522 582507783 776677044 1165015566 2330031132