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233224480 = 2551457653
BaseRepresentation
bin11011110011010…
…11100100100000
3121020212000211201
431321223210200
5434201140410
635050450544
75531242516
oct1571534440
9536760751
10233224480
1110a716005
1266133a54
133941ab68
1422d904b6
151571d83a
hexde6b920

233224480 has 24 divisors (see below), whose sum is σ = 550993212. Its totient is φ = 93289728.

The previous prime is 233224471. The next prime is 233224489. The reversal of 233224480 is 84422332.

233224480 is digitally balanced in base 2 and base 3, because in such bases 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 (233224471) and next prime (233224489).

It can be written as a sum of positive squares in 2 ways, for example, as 196112016 + 37112464 = 14004^2 + 6092^2 .

It is not an unprimeable number, because it can be changed into a prime (233224489) 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, 728667 + ... + 728986.

Almost surely, 2233224480 is an apocalyptic number.

233224480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233224480 is an abundant number, since it is smaller than the sum of its proper divisors (317768732).

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

233224480 is a wasteful number, since it uses less digits than its factorization.

233224480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457668 (or 1457660 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 233224480 is about 15271.6888391559. The cubic root of 233224480 is about 615.5425005787.

The spelling of 233224480 in words is "two hundred thirty-three million, two hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1457653 2915306 5830612 7288265 11661224 14576530 23322448 29153060 46644896 58306120 116612240 233224480