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233001220 = 22511650061
BaseRepresentation
bin11011110001101…
…01000100000100
3121020102200120211
431320311010010
5434122014340
635042005204
75526322564
oct1570650404
9536380524
10233001220
1110a5832a1
1266046804
133937035a
1422d32da4
15156c75ea
hexde35104

233001220 has 12 divisors (see below), whose sum is σ = 489302604. Its totient is φ = 93200480.

The previous prime is 233001211. The next prime is 233001229. The reversal of 233001220 is 22100332.

It is a happy number.

233001220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233001211) and next prime (233001229).

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 202265284 = 5544^2 + 14222^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 233001220.

It is not an unprimeable number, because it can be changed into a prime (233001229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5825011 + ... + 5825050.

It is an arithmetic number, because the mean of its divisors is an integer number (40775217).

Almost surely, 2233001220 is an apocalyptic number.

233001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233001220 is an abundant number, since it is smaller than the sum of its proper divisors (256301384).

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

233001220 is a wasteful number, since it uses less digits than its factorization.

233001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11650070 (or 11650068 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 233001220 is about 15264.3774848501. The cubic root of 233001220 is about 615.3460233571.

Adding to 233001220 its reverse (22100332), we get a palindrome (255101552).

The spelling of 233001220 in words is "two hundred thirty-three million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 11650061 23300122 46600244 58250305 116500610 233001220