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232422320 = 24513217191
BaseRepresentation
bin11011101101001…
…11101110110000
3121012100021111002
431312213232300
5434000003240
635021341132
75521362044
oct1566475660
9535307432
10232422320
1110a218369
1265a077a8
13391c9a00
1422c22024
1515610d15
hexdda7bb0

232422320 has 60 divisors (see below), whose sum is σ = 585181296. Its totient is φ = 85812480.

The previous prime is 232422313. The next prime is 232422341. The reversal of 232422320 is 23224232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232422292 and 232422301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4925 + ... + 22115.

Almost surely, 2232422320 is an apocalyptic number.

232422320 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 232422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292590648).

232422320 is an abundant number, since it is smaller than the sum of its proper divisors (352758976).

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

232422320 is a wasteful number, since it uses less digits than its factorization.

232422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230 (or 17211 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 232422320 is about 15245.4032416332. The cubic root of 232422320 is about 614.8359841996.

Adding to 232422320 its reverse (23224232), we get a palindrome (255646552).

The spelling of 232422320 in words is "two hundred thirty-two million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 17191 34382 68764 85955 137528 171910 223483 275056 343820 446966 687640 893932 1117415 1375280 1787864 2234830 2905279 3575728 4469660 5810558 8939320 11621116 14526395 17878640 23242232 29052790 46484464 58105580 116211160 232422320