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233460420 = 223561227281
BaseRepresentation
bin11011110101001…
…01001011000100
3121021022000111020
431322211023010
5434231213140
635055511140
75533244424
oct1572451304
9537260436
10233460420
1110a8672a6
12662284b0
13394a137b
1423012484
15157686d0
hexdea52c4

233460420 has 96 divisors (see below), whose sum is σ = 669707136. Its totient is φ = 60748800.

The previous prime is 233460379. The next prime is 233460431. The reversal of 233460420 is 24064332.

It is a happy number.

233460420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 830680 + ... + 830960.

It is an arithmetic number, because the mean of its divisors is an integer number (6976116).

Almost surely, 2233460420 is an apocalyptic number.

233460420 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 233460420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334853568).

233460420 is an abundant number, since it is smaller than the sum of its proper divisors (436246716).

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

233460420 is a wasteful number, since it uses less digits than its factorization.

233460420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 233460420 is about 15279.4116378871. The cubic root of 233460420 is about 615.7500004533.

The spelling of 233460420 in words is "two hundred thirty-three million, four hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 227 244 281 305 366 454 562 610 681 732 843 908 915 1124 1135 1220 1362 1405 1686 1830 2270 2724 2810 3372 3405 3660 4215 4540 5620 6810 8430 13620 13847 16860 17141 27694 34282 41541 51423 55388 63787 68564 69235 83082 85705 102846 127574 138470 166164 171410 191361 205692 207705 255148 257115 276940 318935 342820 382722 415410 514230 637870 765444 830820 956805 1028460 1275740 1913610 3827220 3891007 7782014 11673021 15564028 19455035 23346042 38910070 46692084 58365105 77820140 116730210 233460420