[go: up one dir, main page]

Search a number
-
+
232724420 = 225293071307
BaseRepresentation
bin11011101111100…
…01011111000100
3121012220121212222
431313301133010
5434034140140
635032031512
75524060565
oct1567613704
9535817788
10232724420
1110a404335
1265b32598
13392a4376
1422ca016c
15156705b5
hexddf17c4

232724420 has 48 divisors (see below), whose sum is σ = 507608640. Its totient is φ = 89518464.

The previous prime is 232724417. The next prime is 232724423. The reversal of 232724420 is 24427232.

It is an interprime number because it is at equal distance from previous prime (232724417) and next prime (232724423).

It is a self number, because there is not a number n which added to its sum of digits gives 232724420.

It is not an unprimeable number, because it can be changed into a prime (232724423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 177407 + ... + 178713.

It is an arithmetic number, because the mean of its divisors is an integer number (10575180).

Almost surely, 2232724420 is an apocalyptic number.

232724420 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 232724420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253804320).

232724420 is an abundant number, since it is smaller than the sum of its proper divisors (274884220).

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

232724420 is a wasteful number, since it uses less digits than its factorization.

232724420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 232724420 is about 15255.3079287178. The cubic root of 232724420 is about 615.1022545730.

The spelling of 232724420 in words is "two hundred thirty-two million, seven hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 307 580 614 1228 1307 1535 2614 3070 5228 6140 6535 8903 13070 17806 26140 35612 37903 44515 75806 89030 151612 178060 189515 379030 401249 758060 802498 1604996 2006245 4012490 8024980 11636221 23272442 46544884 58181105 116362210 232724420