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204514956 = 22341095791
BaseRepresentation
bin11000011000010…
…10011010001100
3112020211102210000
430030022122030
5404323434311
632143244300
75032230342
oct1414123214
9466742700
10204514956
11a5497128
12585a9690
13334a8389
141d239992
1512e4c056
hexc30a68c

204514956 has 60 divisors (see below), whose sum is σ = 539640640. Its totient is φ = 67534560.

The previous prime is 204514949. The next prime is 204514957. The reversal of 204514956 is 659415402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 204514956.

It is not an unprimeable number, because it can be changed into a prime (204514957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32421 + ... + 38211.

Almost surely, 2204514956 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 204514956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269820320).

204514956 is an abundant number, since it is smaller than the sum of its proper divisors (335125684).

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

204514956 is a wasteful number, since it uses less digits than its factorization.

204514956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 204514956 is about 14300.8725607915. The cubic root of 204514956 is about 589.1714463869.

The spelling of 204514956 in words is "two hundred four million, five hundred fourteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2943 3924 5791 5886 8829 11582 11772 17373 17658 23164 34746 35316 52119 69492 104238 156357 208476 312714 469071 625428 631219 938142 1262438 1876284 1893657 2524876 3787314 5680971 7574628 11361942 17042913 22723884 34085826 51128739 68171652 102257478 204514956