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23245251040 = 2551116779087
BaseRepresentation
bin10101101001100001…
…100110000111100000
32020000000001002202201
4111221201212013200
5340101241013130
614402334222544
71452016242124
oct255141460740
966000032681
1023245251040
11994937a180
124608954a54
132265b2b11b
1411a72cd584
15910b06bca
hex5698661e0

23245251040 has 96 divisors (see below), whose sum is σ = 60268852224. Its totient is φ = 8402096640.

The previous prime is 23245250989. The next prime is 23245251041. The reversal of 23245251040 is 4015254232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23245251041) 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, 254377 + ... + 333463.

It is an arithmetic number, because the mean of its divisors is an integer number (627800544).

Almost surely, 223245251040 is an apocalyptic number.

23245251040 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 23245251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30134426112).

23245251040 is an abundant number, since it is smaller than the sum of its proper divisors (37023601184).

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

23245251040 is a wasteful number, since it uses less digits than its factorization.

23245251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79280 (or 79272 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 23245251040 in words is "twenty-three billion, two hundred forty-five million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 167 176 220 334 352 440 668 835 880 1336 1670 1760 1837 2672 3340 3674 5344 6680 7348 9185 13360 14696 18370 26720 29392 36740 58784 73480 79087 146960 158174 293920 316348 395435 632696 790870 869957 1265392 1581740 1739914 2530784 3163480 3479828 4349785 6326960 6959656 8699570 12653920 13207529 13919312 17399140 26415058 27838624 34798280 52830116 66037645 69596560 105660232 132075290 139193120 145282819 211320464 264150580 290565638 422640928 528301160 581131276 726414095 1056602320 1162262552 1452828190 2113204640 2324525104 2905656380 4649050208 5811312760 11622625520 23245251040