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231929320 = 23573761367
BaseRepresentation
bin11011101001011…
…11010111101000
3121011102020012211
431310233113220
5433333214240
635003014504
75514236530
oct1564572750
9534366184
10231929320
11109a10a27
126580a434
13390864ac
1422b344c0
1515564bea
hexdd2f5e8

231929320 has 128 divisors (see below), whose sum is σ = 624245760. Its totient is φ = 75893760.

The previous prime is 231929311. The next prime is 231929329. The reversal of 231929320 is 23929132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231929311) and next prime (231929329).

It is not an unprimeable number, because it can be changed into a prime (231929329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631777 + ... + 632143.

It is an arithmetic number, because the mean of its divisors is an integer number (4876920).

Almost surely, 2231929320 is an apocalyptic number.

231929320 is a gapful number since it is divisible by the number (20) 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 231929320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312122880).

231929320 is an abundant number, since it is smaller than the sum of its proper divisors (392316440).

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

231929320 is a wasteful number, since it uses less digits than its factorization.

231929320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 231929320 is about 15229.2258503182. The cubic root of 231929320 is about 614.4009589851.

The spelling of 231929320 in words is "two hundred thirty-one million, nine hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 61 70 74 122 140 148 185 244 259 280 296 305 367 370 427 488 518 610 734 740 854 1036 1220 1295 1468 1480 1708 1835 2072 2135 2257 2440 2569 2590 2936 3416 3670 4270 4514 5138 5180 7340 8540 9028 10276 10360 11285 12845 13579 14680 15799 17080 18056 20552 22387 22570 25690 27158 31598 44774 45140 51380 54316 63196 67895 78995 89548 90280 95053 102760 108632 111935 126392 135790 156709 157990 179096 190106 223870 271580 313418 315980 380212 447740 475265 543160 626836 631960 760424 783545 828319 895480 950530 1253672 1567090 1656638 1901060 3134180 3313276 3802120 4141595 5798233 6268360 6626552 8283190 11596466 16566380 23192932 28991165 33132760 46385864 57982330 115964660 231929320