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200031104 = 2771321321
BaseRepresentation
bin10111110110000…
…11101110000000
3111221101122002102
423323003232000
5402201443404
631503205532
74646144030
oct1373035600
9457348072
10200031104
11a2a04369
1256ba68a8
1332598500
141c7cd8c0
151286371e
hexbec3b80

200031104 has 96 divisors (see below), whose sum is σ = 493529040. Its totient is φ = 79073280.

The previous prime is 200031089. The next prime is 200031109. The reversal of 200031104 is 401130002.

It is a happy number.

200031104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200031109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150764 + ... + 152084.

Almost surely, 2200031104 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 200031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246764520).

200031104 is an abundant number, since it is smaller than the sum of its proper divisors (293497936).

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

200031104 is a wasteful number, since it uses less digits than its factorization.

200031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 200031104 is about 14143.2352734443. The cubic root of 200031104 is about 584.8338622870.

Adding to 200031104 its reverse (401130002), we get a palindrome (601161106).

The spelling of 200031104 in words is "two hundred million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 338 364 416 448 676 728 832 896 1183 1321 1352 1456 1664 2366 2642 2704 2912 4732 5284 5408 5824 9247 9464 10568 10816 11648 17173 18494 18928 21136 21632 34346 36988 37856 42272 68692 73976 75712 84544 120211 137384 147952 151424 169088 223249 240422 274768 295904 446498 480844 549536 591808 892996 961688 1099072 1183616 1562743 1785992 1923376 2198144 3125486 3571984 3846752 6250972 7143968 7693504 12501944 14287936 15387008 25003888 28575872 50007776 100015552 200031104