Search a number
-
+
22148822196 = 22331933732029
BaseRepresentation
bin10100101000001011…
…000011010010110100
32010011120220202011000
4110220023003102310
5330330044302241
614101450043300
71412603611434
oct245013032264
963146822130
1022148822196
119436483a36
124361719530
13211c92aa67
1411018402c4
15899728eb6
hex5282c34b4

22148822196 has 96 divisors (see below), whose sum is σ = 60626384000. Its totient is φ = 6973392384.

The previous prime is 22148822183. The next prime is 22148822197. The reversal of 22148822196 is 69122884122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22148822197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675510 + ... + 707538.

Almost surely, 222148822196 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 22148822196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30313192000).

22148822196 is an abundant number, since it is smaller than the sum of its proper divisors (38477561804).

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

22148822196 is a wasteful number, since it uses less digits than its factorization.

22148822196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32398 (or 32390 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 22148822196 in words is "twenty-two billion, one hundred forty-eight million, eight hundred twenty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 337 342 513 674 684 1011 1026 1348 2022 2052 3033 4044 6066 6403 9099 12132 12806 18198 19209 25612 32029 36396 38418 57627 64058 76836 96087 115254 128116 172881 192174 230508 288261 345762 384348 576522 608551 691524 864783 1153044 1217102 1729566 1825653 2434204 3459132 3651306 5476959 7302612 10793773 10953918 16430877 21587546 21907836 32381319 32861754 43175092 64762638 65723508 97143957 129525276 194287914 205081687 291431871 388575828 410163374 582863742 615245061 820326748 1165727484 1230490122 1845735183 2460980244 3691470366 5537205549 7382940732 11074411098 22148822196