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233436225 = 35211229887
BaseRepresentation
bin11011110100111…
…11010001000001
3121021020210022010
431322133101001
5434224424400
635055203133
75533114041
oct1572372101
9537223263
10233436225
1110a850100
12662164a9
1339493359
1423007721
1515761450
hexde9f441

233436225 has 72 divisors (see below), whose sum is σ = 439346880. Its totient is φ = 109155200.

The previous prime is 233436211. The next prime is 233436239. The reversal of 233436225 is 522634332.

It is an interprime number because it is at equal distance from previous prime (233436211) and next prime (233436239).

It is not a de Polignac number, because 233436225 - 24 = 233436209 is a prime.

It is a super-2 number, since 2×2334362252 = 108984942284501250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233436192 and 233436201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 262732 + ... + 263618.

It is an arithmetic number, because the mean of its divisors is an integer number (6102040).

Almost surely, 2233436225 is an apocalyptic number.

233436225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233436225 is a deficient number, since it is larger than the sum of its proper divisors (205910655).

233436225 is a wasteful number, since it uses less digits than its factorization.

233436225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 935 counting only the distinct ones).

The product of its digits is 25920, while the sum is 30.

The square root of 233436225 is about 15278.6198656816. The cubic root of 233436225 is about 615.7287283451.

The spelling of 233436225 in words is "two hundred thirty-three million, four hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 29 33 55 75 87 121 145 165 275 319 363 435 605 725 825 887 957 1595 1815 2175 2661 3025 3509 4435 4785 7975 9075 9757 10527 13305 17545 22175 23925 25723 29271 48785 52635 66525 77169 87725 107327 128615 146355 243925 263175 282953 321981 385845 536635 643075 731775 848859 1414765 1609905 1929225 2683175 3112483 4244295 7073825 8049525 9337449 15562415 21221475 46687245 77812075 233436225