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233013320 = 2355825333
BaseRepresentation
bin11011110001110…
…00000001001000
3121020110022011222
431320320001020
5434122411240
635042141212
75526403061
oct1570700110
9536408158
10233013320
1110a5913a1
1266051808
1339375a07
1422d37568
15156caeb5
hexde38048

233013320 has 16 divisors (see below), whose sum is σ = 524280060. Its totient is φ = 93205312.

The previous prime is 233013317. The next prime is 233013323. The reversal of 233013320 is 23310332.

It is an interprime number because it is at equal distance from previous prime (233013317) and next prime (233013323).

It can be written as a sum of positive squares in 2 ways, for example, as 218980804 + 14032516 = 14798^2 + 3746^2 .

It is not an unprimeable number, because it can be changed into a prime (233013323) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2912627 + ... + 2912706.

Almost surely, 2233013320 is an apocalyptic number.

233013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233013320 is an abundant number, since it is smaller than the sum of its proper divisors (291266740).

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

233013320 is a wasteful number, since it uses less digits than its factorization.

233013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825344 (or 5825340 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 233013320 is about 15264.7738273451. The cubic root of 233013320 is about 615.3566750295.

Adding to 233013320 its reverse (23310332), we get a palindrome (256323652).

The spelling of 233013320 in words is "two hundred thirty-three million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5825333 11650666 23301332 29126665 46602664 58253330 116506660 233013320