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225051604992 = 2113212209831
BaseRepresentation
bin1101000110011000011…
…1101111100000000000
3210111220020022002001100
43101212013233200000
512141401202324432
6251215352534400
722154663036154
oct3214607574000
9714806262040
10225051604992
1187497844885
12377493b1400
13182b7453496
14ac6d25d064
155cc293c07c
hex34661ef800

225051604992 has 72 divisors (see below), whose sum is σ = 649990406520. Its totient is φ = 75017195520.

The previous prime is 225051604979. The next prime is 225051605071. The reversal of 225051604992 is 299406150522.

225051604992 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 516 + 0 + 49 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6086484 + ... + 6123347.

It is an arithmetic number, because the mean of its divisors is an integer number (9027644535).

Almost surely, 2225051604992 is an apocalyptic number.

It is an amenable number.

225051604992 is an abundant number, since it is smaller than the sum of its proper divisors (424938801528).

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

225051604992 is a wasteful number, since it uses less digits than its factorization.

225051604992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12209859 (or 12209836 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 225051604992 in words is "two hundred twenty-five billion, fifty-one million, six hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 12209831 24419662 36629493 48839324 73258986 97678648 109888479 146517972 195357296 219776958 293035944 390714592 439553916 586071888 781429184 879107832 1172143776 1562858368 1758215664 2344287552 3125716736 3516431328 4688575104 6251433472 7032862656 9377150208 12502866944 14065725312 18754300416 25005733888 28131450624 37508600832 56262901248 75017201664 112525802496 225051604992