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232413020 = 22577322741
BaseRepresentation
bin11011101101001…
…01011101011100
3121012022210201122
431312211131130
5433444204040
635021230112
75521322660
oct1566453534
9535283648
10232413020
1110a211384
1265a02338
13391c56c8
1422c1c8a0
151560d1b5
hexdda575c

232413020 has 48 divisors (see below), whose sum is σ = 565457088. Its totient is φ = 78589440.

The previous prime is 232412981. The next prime is 232413029. The reversal of 232413020 is 20314232.

It is a self number, because there is not a number n which added to its sum of digits gives 232413020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232413029) 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, 1151 + ... + 21590.

It is an arithmetic number, because the mean of its divisors is an integer number (11780356).

Almost surely, 2232413020 is an apocalyptic number.

232413020 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 232413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282728544).

232413020 is an abundant number, since it is smaller than the sum of its proper divisors (333044068).

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

232413020 is a wasteful number, since it uses less digits than its factorization.

232413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22830 (or 22828 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 232413020 is about 15245.0982286111. The cubic root of 232413020 is about 614.8277835373.

Adding to 232413020 its reverse (20314232), we get a palindrome (252727252).

The spelling of 232413020 in words is "two hundred thirty-two million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 10220 22741 45482 90964 113705 159187 227410 318374 454820 636748 795935 1591870 1660093 3183740 3320186 6640372 8300465 11620651 16600930 23241302 33201860 46482604 58103255 116206510 232413020