Search a number
-
+
213223212232 = 231719418872269
BaseRepresentation
bin1100011010010100011…
…0000000010011001000
3202101100220002110120121
43012211012000103020
511443140120242412
6241541533233024
721255604254112
oct3064506002310
9671326073517
10213223212232
1182477a43278
12353a8032774
1317150a14704
14a46a3523b2
15582e2b8107
hex31a51804c8

213223212232 has 128 divisors (see below), whose sum is σ = 457174368000. Its totient is φ = 92595363840.

The previous prime is 213223212229. The next prime is 213223212271. The reversal of 213223212232 is 232212322312.

It is a junction number, because it is equal to n+sod(n) for n = 213223212197 and 213223212206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93971194 + ... + 93973462.

It is an arithmetic number, because the mean of its divisors is an integer number (3571674750).

Almost surely, 2213223212232 is an apocalyptic number.

It is an amenable number.

213223212232 is an abundant number, since it is smaller than the sum of its proper divisors (243951155768).

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

213223212232 is a wasteful number, since it uses less digits than its factorization.

213223212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3235 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

Adding to 213223212232 its reverse (232212322312), we get a palindrome (445435534544).

The spelling of 213223212232 in words is "two hundred thirteen billion, two hundred twenty-three million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 17 19 34 38 41 68 76 82 136 152 164 323 328 646 697 779 887 1292 1394 1558 1774 2269 2584 2788 3116 3548 4538 5576 6232 7096 9076 13243 15079 16853 18152 26486 30158 33706 36367 38573 43111 52972 60316 67412 72734 77146 86222 93029 105944 120632 134824 145468 154292 172444 186058 286501 290936 308584 344888 372116 573002 618239 690973 732887 744232 1146004 1236478 1381946 1465774 1581493 1767551 2012603 2292008 2472956 2763892 2931548 3162986 3535102 4025206 4945912 5527784 5863096 6325972 7070204 8050412 11746541 12651944 14140408 16100824 23493082 30048367 34214251 38239457 46986164 60096734 68428502 76478914 82516723 93972328 120193468 136857004 152957828 165033446 240386936 273714008 305915656 330066892 650070769 660133784 1300141538 1402784291 1567817737 2600283076 2805568582 3135635474 5200566152 5611137164 6271270948 11222274328 12542541896 26652901529 53305803058 106611606116 213223212232