Search a number
-
+
1221330032 = 241319437187
BaseRepresentation
bin100100011001100…
…0000010001110000
310011010010222211122
41020303000101300
510000130030112
6321105201412
742160063646
oct11063002160
93133128748
101221330032
1157745536a
122a1030268
131660520c0
14b82c3196
1572350872
hex48cc0470

1221330032 has 80 divisors (see below), whose sum is σ = 2745240960. Its totient is φ = 521531136.

The previous prime is 1221330029. The next prime is 1221330043. The reversal of 1221330032 is 2300331221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166343 + ... + 173529.

It is an arithmetic number, because the mean of its divisors is an integer number (34315512).

Almost surely, 21221330032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372620480).

1221330032 is an abundant number, since it is smaller than the sum of its proper divisors (1523910928).

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

1221330032 is a wasteful number, since it uses less digits than its factorization.

1221330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7270 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1221330032 is about 34947.5325595384. The cubic root of 1221330032 is about 1068.9178893278.

Adding to 1221330032 its reverse (2300331221), we get a palindrome (3521661253).

The spelling of 1221330032 in words is "one billion, two hundred twenty-one million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 43 52 76 86 104 152 172 208 247 304 344 494 559 688 817 988 1118 1634 1976 2236 3268 3952 4472 6536 7187 8944 10621 13072 14374 21242 28748 42484 57496 84968 93431 114992 136553 169936 186862 273106 309041 373724 546212 618082 747448 1092424 1236164 1494896 1775189 2184848 2472328 3550378 4017533 4944656 5871779 7100756 8035066 11743558 14201512 16070132 23487116 28403024 32140264 46974232 64280528 76333127 93948464 152666254 305332508 610665016 1221330032