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233640090 = 23252596001
BaseRepresentation
bin11011110110100…
…01000010011010
3121021122010221200
431323101002122
5434302440330
635103415030
75534623305
oct1573210232
9537563850
10233640090
1110a97a292
12662b4476
1339535098
142305bb3c
15157a1a60
hexded109a

233640090 has 24 divisors (see below), whose sum is σ = 607464468. Its totient is φ = 62304000.

The previous prime is 233640079. The next prime is 233640091. The reversal of 233640090 is 90046332.

233640090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 230705721 + 2934369 = 15189^2 + 1713^2 .

It is not an unprimeable number, because it can be changed into a prime (233640091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1297911 + ... + 1298090.

Almost surely, 2233640090 is an apocalyptic number.

233640090 is an abundant number, since it is smaller than the sum of its proper divisors (373824378).

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

233640090 is a wasteful number, since it uses less digits than its factorization.

233640090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596014 (or 2596011 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 233640090 is about 15285.2899874356. The cubic root of 233640090 is about 615.9079193476.

The spelling of 233640090 in words is "two hundred thirty-three million, six hundred forty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2596001 5192002 7788003 12980005 15576006 23364009 25960010 38940015 46728018 77880030 116820045 233640090