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232200140 = 225191673659
BaseRepresentation
bin11011101011100…
…01011111001100
3121011220222201012
431311301133030
5433420401030
635012504352
75516445224
oct1565613714
9534828635
10232200140
1110a086447
126591b0b8
133914c843
1422ba5084
15155ba095
hexdd717cc

232200140 has 48 divisors (see below), whose sum is σ = 516499200. Its totient is φ = 87440832.

The previous prime is 232200119. The next prime is 232200149. The reversal of 232200140 is 41002232.

It is not an unprimeable number, because it can be changed into a prime (232200149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61631 + ... + 65289.

It is an arithmetic number, because the mean of its divisors is an integer number (10760400).

Almost surely, 2232200140 is an apocalyptic number.

232200140 is a gapful number since it is divisible by the number (20) 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 232200140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258249600).

232200140 is an abundant number, since it is smaller than the sum of its proper divisors (284299060).

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

232200140 is a wasteful number, since it uses less digits than its factorization.

232200140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 232200140 is about 15238.1147127852. The cubic root of 232200140 is about 614.6400078834.

Adding to 232200140 its reverse (41002232), we get a palindrome (273202372).

The spelling of 232200140 in words is "two hundred thirty-two million, two hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 167 190 334 380 668 835 1670 3173 3340 3659 6346 7318 12692 14636 15865 18295 31730 36590 63460 69521 73180 139042 278084 347605 611053 695210 1222106 1390420 2444212 3055265 6110530 11610007 12221060 23220014 46440028 58050035 116100070 232200140