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232443420 = 2235112101317
BaseRepresentation
bin11011101101011…
…00111000011100
3121012101100102120
431312230320130
5434001142140
635022022540
75521510416
oct1566547034
9535340376
10232443420
1110a232200
1265a17a50
13392064b1
1422c299b6
15156171d0
hexddace1c

232443420 has 144 divisors (see below), whose sum is σ = 724749984. Its totient is φ = 55616000.

The previous prime is 232443403. The next prime is 232443437. The reversal of 232443420 is 24344232.

It is an interprime number because it is at equal distance from previous prime (232443403) and next prime (232443437).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733102 + ... + 733418.

It is an arithmetic number, because the mean of its divisors is an integer number (5032986).

Almost surely, 2232443420 is an apocalyptic number.

232443420 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 232443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362374992).

232443420 is an abundant number, since it is smaller than the sum of its proper divisors (492306564).

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

232443420 is a wasteful number, since it uses less digits than its factorization.

232443420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 232443420 is about 15246.0952377978. The cubic root of 232443420 is about 614.8545891924.

Adding to 232443420 its reverse (24344232), we get a palindrome (256787652).

The spelling of 232443420 in words is "two hundred thirty-two million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 121 132 165 202 220 242 303 317 330 363 404 484 505 605 606 634 660 726 951 1010 1111 1210 1212 1268 1452 1515 1585 1815 1902 2020 2222 2420 3030 3170 3333 3487 3630 3804 4444 4755 5555 6060 6340 6666 6974 7260 9510 10461 11110 12221 13332 13948 16665 17435 19020 20922 22220 24442 32017 33330 34870 36663 38357 41844 48884 52305 61105 64034 66660 69740 73326 76714 96051 104610 115071 122210 128068 146652 153428 160085 183315 191785 192102 209220 230142 244420 320170 352187 366630 383570 384204 460284 480255 575355 640340 704374 733260 767140 960510 1056561 1150710 1408748 1760935 1921020 2113122 2301420 3521870 3874057 4226244 5282805 7043740 7748114 10565610 11622171 15496228 19370285 21131220 23244342 38740570 46488684 58110855 77481140 116221710 232443420