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225424750200 = 2335213131921911
BaseRepresentation
bin1101000111110001011…
…1001011011001111000
3210112212020102211001020
43101330113023121320
512143132214001300
6251320402422440
722200143522106
oct3217427133170
9715766384036
10225424750200
1187669438351
1237832361a20
1318346851570
14aca6a32c76
155ce55988a0
hex347c5cb678

225424750200 has 192 divisors, whose sum is σ = 753176793600. Its totient is φ = 55444569600.

The previous prime is 225424750181. The next prime is 225424750211. The reversal of 225424750200 is 2057424522.

225424750200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10277245 + ... + 10299155.

It is an arithmetic number, because the mean of its divisors is an integer number (3922795800).

Almost surely, 2225424750200 is an apocalyptic number.

225424750200 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 225424750200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376588396800).

225424750200 is an abundant number, since it is smaller than the sum of its proper divisors (527752043400).

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

225424750200 is a wasteful number, since it uses less digits than its factorization.

225424750200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23262 (or 23253 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The spelling of 225424750200 in words is "two hundred twenty-five billion, four hundred twenty-four million, seven hundred fifty thousand, two hundred".