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23254960080 = 24351116375381
BaseRepresentation
bin10101101010000110…
…101000011111010000
32020000200022101001210
4111222012220133100
5340111232210310
614403322300120
71452164620302
oct255206503720
966020271053
1023254960080
119953900780
124610057640
132267b4a411
1411a86d9972
159118c3820
hex56a1a87d0

23254960080 has 160 divisors (see below), whose sum is σ = 78706712448. Its totient is φ = 5633075200.

The previous prime is 23254960009. The next prime is 23254960117. The reversal of 23254960080 is 8006945232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4318990 + ... + 4324370.

Almost surely, 223254960080 is an apocalyptic number.

23254960080 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 23254960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39353356224).

23254960080 is an abundant number, since it is smaller than the sum of its proper divisors (55451752368).

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

23254960080 is a wasteful number, since it uses less digits than its factorization.

23254960080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7039 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 23254960080 in words is "twenty-three billion, two hundred fifty-four million, nine hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1637 2640 3274 4911 5381 6548 8185 9822 10762 13096 16143 16370 18007 19644 21524 24555 26192 26905 32286 32740 36014 39288 43048 49110 53810 54021 59191 64572 65480 72028 78576 80715 86096 90035 98220 107620 108042 118382 129144 130960 144056 161430 177573 180070 196440 215240 216084 236764 258288 270105 288112 295955 322860 355146 360140 392880 430480 432168 473528 540210 591910 645720 710292 720280 864336 887865 947056 1080420 1183820 1291440 1420584 1440560 1775730 2160840 2367640 2841168 3551460 4321680 4735280 7102920 8808697 14205840 17617394 26426091 35234788 44043485 52852182 70469576 88086970 96895667 105704364 132130455 140939152 176173940 193791334 211408728 264260910 290687001 352347880 387582668 422817456 484478335 528521820 581374002 704695760 775165336 968956670 1057043640 1162748004 1453435005 1550330672 1937913340 2114087280 2325496008 2906870010 3875826680 4650992016 5813740020 7751653360 11627480040 23254960080