Search a number
-
+
209114592 = 25329312423
BaseRepresentation
bin11000111011011…
…01010111100000
3112120111010021220
430131231113200
5412013131332
632430015040
75116305351
oct1435552740
9476433256
10209114592
11a8048985
125a047480
1334428b5b
141dab5d28
1513559d2c
hexc76d5e0

209114592 has 96 divisors (see below), whose sum is σ = 586414080. Its totient is φ = 65103360.

The previous prime is 209114567. The next prime is 209114593. The reversal of 209114592 is 295411902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209114593) 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, 85093 + ... + 87515.

It is an arithmetic number, because the mean of its divisors is an integer number (6108480).

Almost surely, 2209114592 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 209114592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293207040).

209114592 is an abundant number, since it is smaller than the sum of its proper divisors (377299488).

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

209114592 is a wasteful number, since it uses less digits than its factorization.

209114592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 209114592 is about 14460.7949988927. The cubic root of 209114592 is about 593.5556540373. Note that the first 3 decimals are identical.

The spelling of 209114592 in words is "two hundred nine million, one hundred fourteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 87 93 96 116 124 174 186 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 2423 2697 2784 2976 3596 4846 5394 7192 7269 9692 10788 14384 14538 19384 21576 28768 29076 38768 43152 58152 70267 75113 77536 86304 116304 140534 150226 210801 225339 232608 281068 300452 421602 450678 562136 600904 843204 901356 1124272 1201808 1686408 1802712 2178277 2248544 2403616 3372816 3605424 4356554 6534831 6745632 7210848 8713108 13069662 17426216 26139324 34852432 52278648 69704864 104557296 209114592