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232661320 = 23517617179
BaseRepresentation
bin11011101111000…
…10000101001000
3121012210102022221
431313202011020
5434030130240
635030423424
75523405613
oct1567420510
9535712287
10232661320
1110a370991
1265b01b74
1339281728
1422c8517a
151565ba4a
hexdde2148

232661320 has 128 divisors (see below), whose sum is σ = 578534400. Its totient is φ = 83865600.

The previous prime is 232661311. The next prime is 232661321. The reversal of 232661320 is 23166232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (232661321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2945041 + ... + 2945119.

It is an arithmetic number, because the mean of its divisors is an integer number (4519800).

Almost surely, 2232661320 is an apocalyptic number.

232661320 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 232661320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289267200).

232661320 is an abundant number, since it is smaller than the sum of its proper divisors (345873080).

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

232661320 is a wasteful number, since it uses less digits than its factorization.

232661320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 232661320 is about 15253.2396558895. The cubic root of 232661320 is about 615.0466573984.

The spelling of 232661320 in words is "two hundred thirty-two million, six hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 71 79 85 122 136 142 158 170 244 284 305 316 340 355 395 488 568 610 632 680 710 790 1037 1207 1220 1343 1420 1580 2074 2414 2440 2686 2840 3160 4148 4331 4819 4828 5185 5372 5609 6035 6715 8296 8662 9638 9656 10370 10744 11218 12070 13430 17324 19276 20740 21655 22436 24095 24140 26860 28045 34648 38552 41480 43310 44872 48190 48280 53720 56090 73627 81923 86620 95353 96380 112180 147254 163846 173240 190706 192760 224360 294508 327692 342149 368135 381412 409615 476765 589016 655384 684298 736270 762824 819230 953530 1368596 1472540 1638460 1710745 1907060 2737192 2945080 3276920 3421490 3814120 5816533 6842980 11633066 13685960 23266132 29082665 46532264 58165330 116330660 232661320