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200120032 = 2577112583
BaseRepresentation
bin10111110110110…
…01011011100000
3111221120011002001
423323121123200
5402212320112
631505133344
74646664220
oct1373313340
9457504061
10200120032
11a2a65162
125702a254
13325c9b28
141c814080
151287ec57
hexbed96e0

200120032 has 48 divisors (see below), whose sum is σ = 456648192. Its totient is φ = 84551040.

The previous prime is 200120029. The next prime is 200120069. The reversal of 200120032 is 230021002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9613 + ... + 22195.

It is an arithmetic number, because the mean of its divisors is an integer number (9513504).

Almost surely, 2200120032 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 200120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228324096).

200120032 is an abundant number, since it is smaller than the sum of its proper divisors (256528160).

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

200120032 is a wasteful number, since it uses less digits than its factorization.

200120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12671 (or 12663 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 200120032 is about 14146.3787592444. The cubic root of 200120032 is about 584.9205161448.

Adding to 200120032 its reverse (230021002), we get a palindrome (430141034).

The spelling of 200120032 in words is "two hundred million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1988 2272 3976 7952 12583 15904 25166 50332 88081 100664 176162 201328 352324 402656 704648 893393 1409296 1786786 2818592 3573572 6253751 7147144 12507502 14294288 25015004 28588576 50030008 100060016 200120032