Search a number
-
+
200834964 = 223411371523
BaseRepresentation
bin10111111100001…
…11111110010100
3111222220110210000
423332013332110
5402403204324
631532331300
74656032451
oct1376077624
9458813700
10200834964
11a3403310
1257313b30
13327ba375
141c95c828
15129719c9
hexbf87f94

200834964 has 120 divisors (see below), whose sum is σ = 588617568. Its totient is φ = 59175360.

The previous prime is 200834941. The next prime is 200834971. The reversal of 200834964 is 469438002.

It is a happy number.

200834964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131107 + ... + 132629.

Almost surely, 2200834964 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 200834964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294308784).

200834964 is an abundant number, since it is smaller than the sum of its proper divisors (387782604).

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

200834964 is a wasteful number, since it uses less digits than its factorization.

200834964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 200834964 is about 14171.6253125744. The cubic root of 200834964 is about 585.6162342651.

The spelling of 200834964 in words is "two hundred million, eight hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 81 99 108 111 132 148 162 198 222 297 324 333 396 407 444 594 666 814 891 999 1188 1221 1332 1523 1628 1782 1998 2442 2997 3046 3564 3663 3996 4569 4884 5994 6092 7326 9138 10989 11988 13707 14652 16753 18276 21978 27414 32967 33506 41121 43956 50259 54828 56351 65934 67012 82242 100518 112702 123363 131868 150777 164484 169053 201036 225404 246726 301554 338106 452331 493452 507159 603108 619861 676212 904662 1014318 1239722 1356993 1521477 1809324 1859583 2028636 2479444 2713986 3042954 3719166 4564431 5427972 5578749 6085908 7438332 9128862 11157498 16736247 18257724 22314996 33472494 50208741 66944988 100417482 200834964