Search a number
-
+
2153122356 = 2237112579067
BaseRepresentation
bin1000000001010110…
…0000101000110100
312120001110221121110
42000111200220310
513402144403411
6553352515020
7104233144440
oct20025405064
95501427543
102153122356
11a05421770
125010aba70
132840ca4c8
14165d57820
15c905c2a6
hex80560a34

2153122356 has 96 divisors (see below), whose sum is σ = 6288694272. Its totient is φ = 557015040.

The previous prime is 2153122333. The next prime is 2153122381. The reversal of 2153122356 is 6532213512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232935 + ... + 242001.

It is an arithmetic number, because the mean of its divisors is an integer number (65507232).

Almost surely, 22153122356 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 2153122356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144347136).

2153122356 is an abundant number, since it is smaller than the sum of its proper divisors (4135571916).

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

2153122356 is a wasteful number, since it uses less digits than its factorization.

2153122356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9349 (or 9347 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 2153122356 is about 46401.7494928801. The cubic root of 2153122356 is about 1291.2873705560.

Adding to 2153122356 its reverse (6532213512), we get a palindrome (8685335868).

The spelling of 2153122356 in words is "two billion, one hundred fifty-three million, one hundred twenty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 257 308 462 514 771 924 1028 1542 1799 2827 3084 3598 5397 5654 7196 8481 9067 10794 11308 16962 18134 19789 21588 27201 33924 36268 39578 54402 59367 63469 79156 99737 108804 118734 126938 190407 199474 237468 253876 299211 380814 398948 598422 698159 761628 1196844 1396318 2094477 2330219 2792636 4188954 4660438 6990657 8377908 9320876 13981314 16311533 25632409 27962628 32623066 48934599 51264818 65246132 76897227 97869198 102529636 153794454 179426863 195738396 307588908 358853726 538280589 717707452 1076561178 2153122356