Search a number
-
+
201894456 = 233193731187
BaseRepresentation
bin11000000100010…
…10101000111000
3112001220022010110
430002022220320
5403141110311
632011144320
75001034401
oct1402125070
9461808113
10201894456
11a3a67325
12577450a0
1332a9b69a
141cb569a8
1512ad08a6
hexc08aa38

201894456 has 64 divisors (see below), whose sum is σ = 533174400. Its totient is φ = 63531648.

The previous prime is 201894419. The next prime is 201894457. The reversal of 201894456 is 654498102.

It is a super-2 number, since 2×2018944562 = 81522742727071872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201894457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169495 + ... + 170681.

It is an arithmetic number, because the mean of its divisors is an integer number (8330850).

Almost surely, 2201894456 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 201894456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266587200).

201894456 is an abundant number, since it is smaller than the sum of its proper divisors (331279944).

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

201894456 is a wasteful number, since it uses less digits than its factorization.

201894456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 201894456 is about 14208.9568934528. The cubic root of 201894456 is about 586.6442223392.

The spelling of 201894456 in words is "two hundred one million, eight hundred ninety-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 373 456 746 1119 1187 1492 2238 2374 2984 3561 4476 4748 7087 7122 8952 9496 14174 14244 21261 22553 28348 28488 42522 45106 56696 67659 85044 90212 135318 170088 180424 270636 442751 541272 885502 1328253 1771004 2656506 3542008 5313012 8412269 10626024 16824538 25236807 33649076 50473614 67298152 100947228 201894456