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233315420 = 225134143509
BaseRepresentation
bin11011110100000…
…01110001011100
3121021000122120212
431322001301130
5434212043140
635052431552
75532101612
oct1572016134
9537018525
10233315420
1110a778368
12661785b8
1339450380
1422db56b2
151573a765
hexde81c5c

233315420 has 96 divisors (see below), whose sum is σ = 554178240. Its totient is φ = 81930240.

The previous prime is 233315419. The next prime is 233315437. The reversal of 233315420 is 24513332.

233315420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458126 + ... + 458634.

It is an arithmetic number, because the mean of its divisors is an integer number (5772690).

Almost surely, 2233315420 is an apocalyptic number.

233315420 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 233315420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277089120).

233315420 is an abundant number, since it is smaller than the sum of its proper divisors (320862820).

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

233315420 is a wasteful number, since it uses less digits than its factorization.

233315420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 233315420 is about 15274.6659537942. The cubic root of 233315420 is about 615.6224952701.

Adding to 233315420 its reverse (24513332), we get a palindrome (257828752).

The spelling of 233315420 in words is "two hundred thirty-three million, three hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 43 52 65 82 86 130 164 172 205 215 260 410 430 509 533 559 820 860 1018 1066 1118 1763 2036 2132 2236 2545 2665 2795 3526 5090 5330 5590 6617 7052 8815 10180 10660 11180 13234 17630 20869 21887 22919 26468 33085 35260 41738 43774 45838 66170 83476 87548 91676 104345 109435 114595 132340 208690 218870 229190 271297 284531 417380 437740 458380 542594 569062 897367 1085188 1138124 1356485 1422655 1794734 2712970 2845310 3589468 4486835 5425940 5690620 8973670 11665771 17947340 23331542 46663084 58328855 116657710 233315420