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200191056 = 243133179131
BaseRepresentation
bin10111110111010…
…10110001010000
3111221200202111120
423323222301100
5402222103211
631510442240
74650411252
oct1373526120
9457622446
10200191056
11a300355a
1257063380
1332623260
141c831cd2
1512895d06
hexbeeac50

200191056 has 160 divisors (see below), whose sum is σ = 586629120. Its totient is φ = 58406400.

The previous prime is 200191051. The next prime is 200191091. The reversal of 200191056 is 650191002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200191051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528111 + ... + 1528241.

It is an arithmetic number, because the mean of its divisors is an integer number (3666432).

Almost surely, 2200191056 is an apocalyptic number.

200191056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200191056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293314560).

200191056 is an abundant number, since it is smaller than the sum of its proper divisors (386438064).

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

200191056 is a wasteful number, since it uses less digits than its factorization.

200191056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 200191056 is about 14148.8888609671. Note that the first 4 decimals coincide. The cubic root of 200191056 is about 584.9897054219.

The spelling of 200191056 in words is "two hundred million, one hundred ninety-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 79 93 104 124 131 156 158 186 208 237 248 262 312 316 372 393 403 474 496 524 624 632 744 786 806 948 1027 1048 1209 1264 1488 1572 1612 1703 1896 2054 2096 2418 2449 3081 3144 3224 3406 3792 4061 4108 4836 4898 5109 6162 6288 6448 6812 7347 8122 8216 9672 9796 10218 10349 12183 12324 13624 14694 16244 16432 19344 19592 20436 20698 24366 24648 27248 29388 31047 31837 32488 39184 40872 41396 48732 49296 52793 58776 62094 63674 64976 81744 82792 95511 97464 105586 117552 124188 127348 134537 158379 165584 191022 194928 211172 248376 254696 269074 316758 320819 382044 403611 422344 496752 509392 538148 633516 641638 764088 807222 844688 962457 1076296 1267032 1283276 1528176 1614444 1924914 2152592 2534064 2566552 3228888 3849828 4170647 5133104 6457776 7699656 8341294 12511941 15399312 16682588 25023882 33365176 50047764 66730352 100095528 200191056