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23290581120 = 273556921319
BaseRepresentation
bin10101101100001110…
…100001000010000000
32020010011100002221120
4111230032201002000
5340144342043440
614411033552240
71453106446602
oct255416410200
966104302846
1023290581120
119971a20354
12461bb75680
13227233ca61
1411ad32d172
15914aacdd0
hex56c3a1080

23290581120 has 128 divisors (see below), whose sum is σ = 74372688000. Its totient is φ = 6199615488.

The previous prime is 23290581089. The next prime is 23290581151. The reversal of 23290581120 is 2118509232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23290581089) and next prime (23290581151).

It is a tau number, because it is divible by the number of its divisors (128).

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, 1081821 + ... + 1103139.

It is an arithmetic number, because the mean of its divisors is an integer number (581036625).

Almost surely, 223290581120 is an apocalyptic number.

23290581120 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 23290581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37186344000).

23290581120 is an abundant number, since it is smaller than the sum of its proper divisors (51082106880).

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

23290581120 is a wasteful number, since it uses less digits than its factorization.

23290581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21910 (or 21898 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 23290581120 in words is "twenty-three billion, two hundred ninety million, five hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 569 640 960 1138 1707 1920 2276 2845 3414 4552 5690 6828 8535 9104 11380 13656 17070 18208 21319 22760 27312 34140 36416 42638 45520 54624 63957 68280 72832 85276 91040 106595 109248 127914 136560 170552 182080 213190 218496 255828 273120 319785 341104 364160 426380 511656 546240 639570 682208 852760 1023312 1092480 1279140 1364416 1705520 2046624 2558280 2728832 3411040 4093248 5116560 6822080 8186496 10233120 12130511 13644160 20466240 24261022 36391533 40932480 48522044 60652555 72783066 97044088 121305110 145566132 181957665 194088176 242610220 291132264 363915330 388176352 485220440 582264528 727830660 776352704 970440880 1164529056 1455661320 1552705408 1940881760 2329058112 2911322640 3881763520 4658116224 5822645280 7763527040 11645290560 23290581120