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224425064448 = 211361331373
BaseRepresentation
bin1101000100000011000…
…1101011100000000000
3210110021120100112000000
43101000301223200000
512134110304030243
6251033252000000
722133314400304
oct3210061534000
9713246315000
10224425064448
11871a6109682
12375b3600000
13182176c4430
14ac0dd67d04
155c8792a5d3
hex3440c6b800

224425064448 has 672 divisors, whose sum is σ = 749935105920. Its totient is φ = 66647162880.

The previous prime is 224425064447. The next prime is 224425064449. The reversal of 224425064448 is 844460524422.

224425064448 is a `hidden beast` number, since 2 + 24 + 42 + 506 + 44 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (224425064447) and next prime (224425064449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224425064447) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 601675590 + ... + 601675962.

It is an arithmetic number, because the mean of its divisors is an integer number (1115974860).

Almost surely, 2224425064448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224425064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374967552960).

224425064448 is an abundant number, since it is smaller than the sum of its proper divisors (525510041472).

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

224425064448 is an equidigital number, since it uses as much as digits as its factorization.

224425064448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 45.

The spelling of 224425064448 in words is "two hundred twenty-four billion, four hundred twenty-five million, sixty-four thousand, four hundred forty-eight".