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232011780 = 2235711133863
BaseRepresentation
bin11011101010000…
…11100000000100
3121011120102022220
431311003200010
5433343334110
635004452340
75515032120
oct1565034004
9534512286
10232011780
11109a67980
126584a0b0
13390b4ba0
1422b56580
151557e370
hexdd43804

232011780 has 192 divisors, whose sum is σ = 872460288. Its totient is φ = 44490240.

The previous prime is 232011779. The next prime is 232011797. The reversal of 232011780 is 87110232.

It is a super-3 number, since 3×2320117803 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232011780.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 58129 + ... + 61991.

It is an arithmetic number, because the mean of its divisors is an integer number (4544064).

Almost surely, 2232011780 is an apocalyptic number.

232011780 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 232011780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436230144).

232011780 is an abundant number, since it is smaller than the sum of its proper divisors (640448508).

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

232011780 is a wasteful number, since it uses less digits than its factorization.

232011780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 232011780 is about 15231.9329042640. The cubic root of 232011780 is about 614.4737649302.

The spelling of 232011780 in words is "two hundred thirty-two million, eleven thousand, seven hundred eighty".