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200251272 = 23313661971
BaseRepresentation
bin10111110111110…
…01011110001000
3111221210211002210
423323321132020
5402231020042
631512025120
74651051644
oct1373713610
9457724083
10200251272
11a3044821
12570921a0
13326447a0
141c849c24
15128a8a9c
hexbef9788

200251272 has 64 divisors (see below), whose sum is σ = 540509760. Its totient is φ = 61459200.

The previous prime is 200251267. The next prime is 200251273. The reversal of 200251272 is 272152002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200251273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205747 + ... + 206717.

It is an arithmetic number, because the mean of its divisors is an integer number (8445465).

Almost surely, 2200251272 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 200251272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270254880).

200251272 is an abundant number, since it is smaller than the sum of its proper divisors (340258488).

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

200251272 is a wasteful number, since it uses less digits than its factorization.

200251272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 200251272 is about 14151.0166419236. The cubic root of 200251272 is about 585.0483530783.

The spelling of 200251272 in words is "two hundred million, two hundred fifty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 661 971 1322 1942 1983 2644 2913 3884 3966 5288 5826 7768 7932 8593 11652 12623 15864 17186 23304 25246 25779 34372 37869 50492 51558 68744 75738 100984 103116 151476 206232 302952 641831 1283662 1925493 2567324 3850986 5134648 7701972 8343803 15403944 16687606 25031409 33375212 50062818 66750424 100125636 200251272