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10221423200 = 255261920641
BaseRepresentation
bin10011000010011111…
…01000101001100000
3222101100102002122122
421201033220221200
5131413141020300
64410132323412
7511203443432
oct114117505140
928340362578
1010221423200
1143757aa59a
121b93173568
13c6b835911
146cd720652
153ec549c85
hex2613e8a60

10221423200 has 72 divisors (see below), whose sum is σ = 24994572120. Its totient is φ = 4081766400.

The previous prime is 10221423181. The next prime is 10221423211. The reversal of 10221423200 is 232412201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484880 + ... + 505520.

It is an arithmetic number, because the mean of its divisors is an integer number (347146835).

Almost surely, 210221423200 is an apocalyptic number.

10221423200 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 10221423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12497286060).

10221423200 is an abundant number, since it is smaller than the sum of its proper divisors (14773148920).

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

10221423200 is a wasteful number, since it uses less digits than its factorization.

10221423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21280 (or 21267 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10221423200 its reverse (232412201), we get a palindrome (10453835401).

The spelling of 10221423200 in words is "ten billion, two hundred twenty-one million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 619 800 1238 2476 3095 4952 6190 9904 12380 15475 19808 20641 24760 30950 41282 49520 61900 82564 99040 103205 123800 165128 206410 247600 330256 412820 495200 516025 660512 825640 1032050 1651280 2064100 3302560 4128200 8256400 12776779 16512800 25553558 51107116 63883895 102214232 127767790 204428464 255535580 319419475 408856928 511071160 638838950 1022142320 1277677900 2044284640 2555355800 5110711600 10221423200