Search a number
-
+
22132181464 = 2319417348649
BaseRepresentation
bin10100100111001011…
…100100100111011000
32010010102121022100121
4110213023210213120
5330311314301324
614100053243024
71412312303251
oct244713444730
963112538317
1022132181464
119428048568
124358033474
132119352683
1410dd54bb28
1589803d5e4
hex5272e49d8

22132181464 has 64 divisors (see below), whose sum is σ = 45361260000. Its totient is φ = 10087649280.

The previous prime is 22132181441. The next prime is 22132181471. The reversal of 22132181464 is 46418123122.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 430612 + ... + 479260.

Almost surely, 222132181464 is an apocalyptic number.

It is an amenable number.

22132181464 is an abundant number, since it is smaller than the sum of its proper divisors (23229078536).

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

22132181464 is a wasteful number, since it uses less digits than its factorization.

22132181464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48788 (or 48784 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The spelling of 22132181464 in words is "twenty-two billion, one hundred thirty-two million, one hundred eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 19 38 41 73 76 82 146 152 164 292 328 584 779 1387 1558 2774 2993 3116 5548 5986 6232 11096 11972 23944 48649 56867 97298 113734 194596 227468 389192 454936 924331 1848662 1994609 3551377 3697324 3989218 7102754 7394648 7978436 14205508 15956872 28411016 37897571 67476163 75795142 134952326 145606457 151590284 269904652 291212914 303180568 539809304 582425828 1164851656 2766522683 5533045366 11066090732 22132181464