Search a number
-
+
232200192 = 211375399
BaseRepresentation
bin11011101011100…
…01100000000000
3121011220222210010
431311301200000
5433420401232
635012504520
75516445330
oct1565614000
9534828703
10232200192
1110a086494
126591b140
133914c883
1422ba50c0
15155ba0cc
hexdd71800

232200192 has 96 divisors (see below), whose sum is σ = 707616000. Its totient is φ = 66330624.

The previous prime is 232200191. The next prime is 232200209. The reversal of 232200192 is 291002232.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232200191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40309 + ... + 45707.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2232200192 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 232200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

232200192 is an abundant number, since it is smaller than the sum of its proper divisors (475415808).

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

232200192 is an equidigital number, since it uses as much as digits as its factorization.

232200192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 232200192 is about 15238.1164190329. The cubic root of 232200192 is about 614.6400537652.

The spelling of 232200192 in words is "two hundred thirty-two million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 5399 6144 7168 10752 10798 14336 16197 21504 21596 32394 37793 43008 43192 64788 75586 86384 113379 129576 151172 172768 226758 259152 302344 345536 453516 518304 604688 691072 907032 1036608 1209376 1382144 1814064 2073216 2418752 2764288 3628128 4146432 4837504 5528576 7256256 8292864 9675008 11057152 14512512 16585728 19350016 29025024 33171456 38700032 58050048 77400064 116100096 232200192