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200912634 = 232131018501
BaseRepresentation
bin10111111100110…
…10111011111010
3112000001102022200
423332122323322
5402413201014
631534131030
74656505056
oct1376327372
9460042280
10200912634
11a34566aa
1257350a76
1332816820
141c97cc66
1512989a09
hexbf9aefa

200912634 has 48 divisors (see below), whose sum is σ = 473493384. Its totient is φ = 61200000.

The previous prime is 200912633. The next prime is 200912687. The reversal of 200912634 is 436219002.

200912634 is a `hidden beast` number, since 20 + 0 + 9 + 1 + 2 + 634 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147549609 + 53363025 = 12147^2 + 7305^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200912598 and 200912607.

It is not an unprimeable number, because it can be changed into a prime (200912633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19384 + ... + 27884.

Almost surely, 2200912634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200912634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236746692).

200912634 is an abundant number, since it is smaller than the sum of its proper divisors (272580750).

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

200912634 is a wasteful number, since it uses less digits than its factorization.

200912634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8623 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 200912634 is about 14174.3653826194. The cubic root of 200912634 is about 585.6917173877.

The spelling of 200912634 in words is "two hundred million, nine hundred twelve thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1313 1818 2626 3939 7878 8501 11817 17002 23634 25503 51006 76509 110513 153018 221026 331539 663078 858601 994617 1717202 1989234 2575803 5151606 7727409 11161813 15454818 22323626 33485439 66970878 100456317 200912634