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225721425300 = 2235272173129137
BaseRepresentation
bin1101001000111000001…
…0111001110110010100
3210120121220200110202220
43102032002321312110
512144234141102200
6251410041302340
722210405313100
oct3221602716624
9716556613686
10225721425300
1187800950788
12378b57949b0
1318393156b67
14acd41bc900
155d1164c4a0
hex348e0b9d94

225721425300 has 432 divisors, whose sum is σ = 830379852288. Its totient is φ = 46990540800.

The previous prime is 225721425277. The next prime is 225721425337. The reversal of 225721425300 is 3524127522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7732332 + ... + 7761468.

It is an arithmetic number, because the mean of its divisors is an integer number (1922175584).

Almost surely, 2225721425300 is an apocalyptic number.

225721425300 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 225721425300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415189926144).

225721425300 is an abundant number, since it is smaller than the sum of its proper divisors (604658426988).

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

225721425300 is a wasteful number, since it uses less digits than its factorization.

225721425300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29216 (or 29202 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 225721425300 in words is "two hundred twenty-five billion, seven hundred twenty-one million, four hundred twenty-five thousand, three hundred".