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225310204152 = 23331194827527
BaseRepresentation
bin1101000111010110001…
…0001110000011111000
3210112120020220021102000
43101311202032003320
512142413403013102
6251301151341000
722164253064445
oct3216542160370
9715506807360
10225310204152
118760a8111a0
12377bbb21760
1318328bb6c37
14ac957369cc
155cda4be01c
hex347588e0f8

225310204152 has 64 divisors (see below), whose sum is σ = 682758201600. Its totient is φ = 68275818720.

The previous prime is 225310204151. The next prime is 225310204183. The reversal of 225310204152 is 251402013522.

225310204152 is a `hidden beast` number, since 22 + 531 + 0 + 20 + 41 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225310204151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47411388 + ... + 47416139.

It is an arithmetic number, because the mean of its divisors is an integer number (10668096900).

Almost surely, 2225310204152 is an apocalyptic number.

225310204152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225310204152 is an abundant number, since it is smaller than the sum of its proper divisors (457447997448).

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

225310204152 is a wasteful number, since it uses less digits than its factorization.

225310204152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94827553 (or 94827543 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 225310204152 its reverse (251402013522), we get a palindrome (476712217674).

The spelling of 225310204152 in words is "two hundred twenty-five billion, three hundred ten million, two hundred four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 94827527 189655054 284482581 379310108 568965162 758620216 853447743 1043102797 1137930324 1706895486 2086205594 2275860648 2560343229 3129308391 3413790972 4172411188 5120686458 6258616782 6827581944 8344822376 9387925173 10241372916 12517233564 18775850346 20482745832 25034467128 28163775519 37551700692 56327551038 75103401384 112655102076 225310204152