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233235420 = 223511379551
BaseRepresentation
bin11011110011011…
…10001111011100
3121020212120211220
431321232033130
5434202013140
635051013340
75531316435
oct1571561734
9536776756
10233235420
1110a723250
126613a250
1339422b32
1422d9448c
1515721bd0
hexde6e3dc

233235420 has 96 divisors (see below), whose sum is σ = 731759616. Its totient is φ = 55008000.

The previous prime is 233235407. The next prime is 233235421. The reversal of 233235420 is 24532332.

It is a super-2 number, since 2×2332354202 = 108797522285152800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233235421) 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, 19645 + ... + 29195.

It is an arithmetic number, because the mean of its divisors is an integer number (7622496).

Almost surely, 2233235420 is an apocalyptic number.

233235420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233235420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365879808).

233235420 is an abundant number, since it is smaller than the sum of its proper divisors (498524196).

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

233235420 is a wasteful number, since it uses less digits than its factorization.

233235420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9611 (or 9609 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 233235420 is about 15272.0470140712. The cubic root of 233235420 is about 615.5521249681.

Adding to 233235420 its reverse (24532332), we get a palindrome (257767752).

The spelling of 233235420 in words is "two hundred thirty-three million, two hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 9551 12210 19102 24420 28653 38204 47755 57306 95510 105061 114612 143265 191020 210122 286530 315183 353387 420244 525305 573060 630366 706774 1050610 1060161 1260732 1413548 1575915 1766935 2101220 2120322 3151830 3533870 3887257 4240644 5300805 6303660 7067740 7774514 10601610 11661771 15549028 19436285 21203220 23323542 38872570 46647084 58308855 77745140 116617710 233235420