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201096192 = 2103112541
BaseRepresentation
bin10111111110001…
…11110000000000
3112000101202010010
423333013300000
5402440034232
631542104520
74661201163
oct1377076000
9460352103
10201096192
11a3571600
125741b140
133287c23b
141c9c9ada
15129c40cc
hexbfc7c00

201096192 has 132 divisors (see below), whose sum is σ = 590240168. Its totient is φ = 60825600.

The previous prime is 201096187. The next prime is 201096193. The reversal of 201096192 is 291690102.

It is a happy number.

201096192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201096193) 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, 371442 + ... + 371982.

Almost surely, 2201096192 is an apocalyptic number.

201096192 is a gapful number since it is divisible by the number (22) 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 201096192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295120084).

201096192 is an abundant number, since it is smaller than the sum of its proper divisors (389143976).

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

201096192 is a wasteful number, since it uses less digits than its factorization.

201096192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 201096192 is about 14180.8389032525. The cubic root of 201096192 is about 585.8700298447.

The spelling of 201096192 in words is "two hundred one million, ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 541 704 726 768 968 1024 1056 1082 1408 1452 1536 1623 1936 2112 2164 2816 2904 3072 3246 3872 4224 4328 5632 5808 5951 6492 7744 8448 8656 11264 11616 11902 12984 15488 16896 17312 17853 23232 23804 25968 30976 33792 34624 35706 46464 47608 51936 61952 65461 69248 71412 92928 95216 103872 123904 130922 138496 142824 185856 190432 196383 207744 261844 276992 285648 371712 380864 392766 415488 523688 553984 571296 761728 785532 830976 1047376 1142592 1523456 1571064 1661952 2094752 2285184 3046912 3142128 4189504 4570368 6093824 6284256 8379008 9140736 12568512 16758016 18281472 25137024 33516032 50274048 67032064 100548096 201096192