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233213331 = 31329375573
BaseRepresentation
bin11011110011010…
…00110110010011
3121020211110112210
431321220312103
5434200311311
635050323203
75531165151
oct1571506623
9536743483
10233213331
1110a70869a
1266129503
1339415a70
1422d8a3d1
151571a3a6
hexde68d93

233213331 has 32 divisors (see below), whose sum is σ = 355844160. Its totient is φ = 134797824.

The previous prime is 233213311. The next prime is 233213347. The reversal of 233213331 is 133312332.

It is not a de Polignac number, because 233213331 - 223 = 224824723 is a prime.

It is a super-2 number, since 2×2332133312 = 108776915512231122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233213298 and 233213307.

It is not an unprimeable number, because it can be changed into a prime (233213311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39061 + ... + 44633.

It is an arithmetic number, because the mean of its divisors is an integer number (11120130).

Almost surely, 2233213331 is an apocalyptic number.

233213331 is a deficient number, since it is larger than the sum of its proper divisors (122630829).

233213331 is a wasteful number, since it uses less digits than its factorization.

233213331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655.

The product of its digits is 972, while the sum is 21.

The square root of 233213331 is about 15271.3238129509. The cubic root of 233213331 is about 615.5326920133.

Adding to 233213331 its reverse (133312332), we get a palindrome (366525663).

Subtracting from 233213331 its reverse (133312332), we obtain a palindrome (99900999).

The spelling of 233213331 in words is "two hundred thirty-three million, two hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 13 29 37 39 87 111 377 481 1073 1131 1443 3219 5573 13949 16719 41847 72449 161617 206201 217347 484851 618603 2101021 2680613 5979829 6303063 8041839 17939487 77737777 233213331