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1232232420 = 2235172179397
BaseRepresentation
bin100100101110010…
…0101111111100100
310011212122220002210
41021130211333210
510010422414140
6322135003420
742351542226
oct11134457744
93155586083
101232232420
11582621501
122a4809570
1316839b613
14b9920416
15732a5d80
hex49725fe4

1232232420 has 144 divisors (see below), whose sum is σ = 3694904640. Its totient is φ = 306763776.

The previous prime is 1232232413. The next prime is 1232232431. The reversal of 1232232420 is 242322321.

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 47 ways as a sum of consecutive naturals, for example, 3103662 + ... + 3104058.

It is an arithmetic number, because the mean of its divisors is an integer number (25659060).

Almost surely, 21232232420 is an apocalyptic number.

1232232420 is a gapful number since it is divisible by the number (10) 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 1232232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847452320).

1232232420 is an abundant number, since it is smaller than the sum of its proper divisors (2462672220).

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

1232232420 is a wasteful number, since it uses less digits than its factorization.

1232232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1232232420 is about 35103.1682330812. The cubic root of 1232232420 is about 1072.0890911792.

Adding to 1232232420 its reverse (242322321), we get a palindrome (1474554741).

The spelling of 1232232420 in words is "one billion, two hundred thirty-two million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 179 204 255 289 340 358 397 510 537 578 716 794 867 895 1020 1074 1156 1191 1445 1588 1734 1790 1985 2148 2382 2685 2890 3043 3468 3580 3970 4335 4764 5370 5780 5955 6086 6749 7940 8670 9129 10740 11910 12172 13498 15215 17340 18258 20247 23820 26996 30430 33745 36516 40494 45645 51731 60860 67490 71063 80988 91290 101235 103462 114733 134980 142126 155193 182580 202470 206924 213189 229466 258655 284252 310386 344199 355315 404940 426378 458932 517310 573665 620772 688398 710630 775965 852756 1034620 1065945 1147330 1208071 1376796 1421260 1551930 1720995 2131890 2294660 2416142 3103860 3441990 3624213 4263780 4832284 6040355 6883980 7248426 12080710 14496852 18121065 20537207 24161420 36242130 41074414 61611621 72484260 82148828 102686035 123223242 205372070 246446484 308058105 410744140 616116210 1232232420