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10252244000 = 25532579973
BaseRepresentation
bin10011000110001010…
…01101010000100000
3222110111101221211202
421203011031100200
5131444033302000
64413153100332
7512026431125
oct114305152040
928414357752
1010252244000
114391140729
121ba15576a8
13c7503738b
146d386474c
154000d6dd5
hex26314d420

10252244000 has 96 divisors (see below), whose sum is σ = 25290313776. Its totient is φ = 4084531200.

The previous prime is 10252243933. The next prime is 10252244021. The reversal of 10252244000 is 44225201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 868834576 + 9383409424 = 29476^2 + 96868^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1023014 + ... + 1032986.

Almost surely, 210252244000 is an apocalyptic number.

10252244000 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 10252244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645156888).

10252244000 is an abundant number, since it is smaller than the sum of its proper divisors (15038069776).

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

10252244000 is an equidigital number, since it uses as much as digits as its factorization.

10252244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10255 (or 10237 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 10252244000 its reverse (44225201), we get a palindrome (10296469201).

The spelling of 10252244000 in words is "ten billion, two hundred fifty-two million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 257 400 500 514 800 1000 1028 1285 2000 2056 2570 4000 4112 5140 6425 8224 9973 10280 12850 19946 20560 25700 32125 39892 41120 49865 51400 64250 79784 99730 102800 128500 159568 199460 205600 249325 257000 319136 398920 498650 514000 797840 997300 1028000 1246625 1595680 1994600 2493250 2563061 3989200 4986500 5126122 7978400 9973000 10252244 12815305 19946000 20504488 25630610 39892000 41008976 51261220 64076525 82017952 102522440 128153050 205044880 256306100 320382625 410089760 512612200 640765250 1025224400 1281530500 2050448800 2563061000 5126122000 10252244000