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23233532320 = 2554115792243
BaseRepresentation
bin10101101000110100…
…111001000110100000
32012222011222201201001
4111220310321012200
5340040241013240
614401235121344
71451514523555
oct255064710640
965864881631
1023233532320
1199427a5789
124604a43254
13226358717b
1411a591ca2c
1590ea8e89a
hex568d391a0

23233532320 has 96 divisors (see below), whose sum is σ = 56288675520. Its totient is φ = 9056962560.

The previous prime is 23233532293. The next prime is 23233532321. The reversal of 23233532320 is 2323533232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23233532321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10357119 + ... + 10359361.

It is an arithmetic number, because the mean of its divisors is an integer number (586340370).

Almost surely, 223233532320 is an apocalyptic number.

23233532320 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 23233532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28144337760).

23233532320 is an abundant number, since it is smaller than the sum of its proper divisors (33055143200).

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

23233532320 is a wasteful number, since it uses less digits than its factorization.

23233532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 28.

The spelling of 23233532320 in words is "twenty-three billion, two hundred thirty-three million, five hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1579 1640 2243 3158 3280 4486 6316 6560 7895 8972 11215 12632 15790 17944 22430 25264 31580 35888 44860 50528 63160 64739 71776 89720 91963 126320 129478 179440 183926 252640 258956 323695 358880 367852 459815 517912 647390 735704 919630 1035824 1294780 1471408 1839260 2071648 2589560 2942816 3541697 3678520 5179120 7083394 7357040 10358240 14166788 14714080 17708485 28333576 35416970 56667152 70833940 113334304 141667880 145209577 283335760 290419154 566671520 580838308 726047885 1161676616 1452095770 2323353232 2904191540 4646706464 5808383080 11616766160 23233532320