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252205254 = 232722691063
BaseRepresentation
bin11110000100001…
…01100011000110
3122120120100120100
433002011203012
51004031032004
641005344530
76151465200
oct1702054306
9576510510
10252205254
1111a3aa5a4
1270568146
13403353a2
14256d1770
151721c739
hexf0858c6

252205254 has 72 divisors (see below), whose sum is σ = 638623440. Its totient is φ = 71723232.

The previous prime is 252205249. The next prime is 252205273. The reversal of 252205254 is 452502252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236727 + ... + 237789.

It is an arithmetic number, because the mean of its divisors is an integer number (8869770).

Almost surely, 2252205254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252205254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319311720).

252205254 is an abundant number, since it is smaller than the sum of its proper divisors (386418186).

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

252205254 is a wasteful number, since it uses less digits than its factorization.

252205254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 252205254 is about 15880.9714438381. The cubic root of 252205254 is about 631.8074023905.

The spelling of 252205254 in words is "two hundred fifty-two million, two hundred five thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 269 294 441 538 807 882 1063 1614 1883 2126 2421 3189 3766 4842 5649 6378 7441 9567 11298 13181 14882 16947 19134 22323 26362 33894 39543 44646 52087 66969 79086 104174 118629 133938 156261 237258 285947 312522 468783 571894 857841 937566 1715682 2001629 2573523 4003258 5147046 6004887 12009774 14011403 18014661 28022806 36029322 42034209 84068418 126102627 252205254