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10240023200 = 2552112350593
BaseRepresentation
bin10011000100101101…
…00101101010100000
3222102122102002001112
421202112211222200
5131432421220300
64412035122452
7511520522021
oct114226455240
928378362045
1010240023200
114385253aa0
121b99443428
13c72648a34
146d1da2c48
153edec0e35
hex2625a5aa0

10240023200 has 144 divisors (see below), whose sum is σ = 28457303616. Its totient is φ = 3561676800.

The previous prime is 10240023133. The next prime is 10240023247. The reversal of 10240023200 is 232004201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177104 + ... + 227696.

It is an arithmetic number, because the mean of its divisors is an integer number (197620164).

Almost surely, 210240023200 is an apocalyptic number.

10240023200 is a gapful number since it is divisible by the number (10) 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 10240023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14228651808).

10240023200 is an abundant number, since it is smaller than the sum of its proper divisors (18217280416).

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

10240023200 is a wasteful number, since it uses less digits than its factorization.

10240023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50647 (or 50634 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10240023200 its reverse (232004201), we get a palindrome (10472027401).

The spelling of 10240023200 in words is "ten billion, two hundred forty million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 80 88 92 100 110 115 160 176 184 200 220 230 253 275 352 368 400 440 460 506 550 575 736 800 880 920 1012 1100 1150 1265 1760 1840 2024 2200 2300 2530 3680 4048 4400 4600 5060 6325 8096 8800 9200 10120 12650 18400 20240 25300 40480 50593 50600 101186 101200 202372 202400 252965 404744 505930 556523 809488 1011860 1113046 1163639 1264825 1618976 2023720 2226092 2327278 2529650 2782615 4047440 4452184 4654556 5059300 5565230 5818195 8094880 8904368 9309112 10118600 11130460 11636390 12800029 13913075 17808736 18618224 20237200 22260920 23272780 25600058 27826150 29090975 37236448 40474400 44521840 46545560 51200116 55652300 58181950 64000145 89043680 93091120 102400232 111304600 116363900 128000290 186182240 204800464 222609200 232727800 256000580 320000725 409600928 445218400 465455600 512001160 640001450 930911200 1024002320 1280002900 2048004640 2560005800 5120011600 10240023200