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22578125000 = 23510172
BaseRepresentation
bin10101000001110000…
…101101100011001000
32011021111201120212212
4111001300231203020
5332220000000000
614212223324252
71426335616214
oct250160554310
964244646785
1022578125000
119636843542
124461450688
13218a85bba2
141142871944
158c2279c35
hex541c2d8c8

22578125000 has 132 divisors (see below), whose sum is σ = 56213377755. Its totient is φ = 8500000000.

The previous prime is 22578124997. The next prime is 22578125023. The reversal of 22578125000 is 52187522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 17 ways, for example, as 2973084676 + 19605040324 = 54526^2 + 140018^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106250.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 1328124992 + ... + 1328125008.

Almost surely, 222578125000 is an apocalyptic number.

22578125000 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 22578125000

22578125000 is an abundant number, since it is smaller than the sum of its proper divisors (33635252755).

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

22578125000 is an frugal number, since it uses more digits than its factorization.

22578125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

Multiplying 22578125000 by its sum of digits (32), we get a square (722500000000 = 8500002).

The spelling of 22578125000 in words is "twenty-two billion, five hundred seventy-eight million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 289 340 425 500 578 625 680 850 1000 1156 1250 1445 1700 2125 2312 2500 2890 3125 3400 4250 5000 5780 6250 7225 8500 10625 11560 12500 14450 15625 17000 21250 25000 28900 31250 36125 42500 53125 57800 62500 72250 78125 85000 106250 125000 144500 156250 180625 212500 265625 289000 312500 361250 390625 425000 531250 625000 722500 781250 903125 1062500 1328125 1445000 1562500 1806250 1953125 2125000 2656250 3125000 3612500 3906250 4515625 5312500 6640625 7225000 7812500 9031250 9765625 10625000 13281250 15625000 18062500 19531250 22578125 26562500 33203125 36125000 39062500 45156250 53125000 66406250 78125000 90312500 112890625 132812500 166015625 180625000 225781250 265625000 332031250 451562500 564453125 664062500 903125000 1128906250 1328125000 2257812500 2822265625 4515625000 5644531250 11289062500 22578125000