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2122319988 = 2233198911621
BaseRepresentation
bin111111010000000…
…0000100001110100
312110220112000201000
41332200000201310
513321303214423
6550332403300
7103410264555
oct17640004164
95426460630
102122319988
11999aa3468
124b2916530
1327a904259
14161c1a32c
15c64c5843
hex7e800874

2122319988 has 96 divisors (see below), whose sum is σ = 5857488000. Its totient is φ = 662618880.

The previous prime is 2122319981. The next prime is 2122320029. The reversal of 2122319988 is 8899132212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122319981) 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, 176818 + ... + 188438.

It is an arithmetic number, because the mean of its divisors is an integer number (61015500).

Almost surely, 22122319988 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 2122319988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928744000).

2122319988 is an abundant number, since it is smaller than the sum of its proper divisors (3735168012).

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

2122319988 is a wasteful number, since it uses less digits than its factorization.

2122319988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11742 (or 11734 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 2122319988 is about 46068.6443039081. The cubic root of 2122319988 is about 1285.1000922301.

The spelling of 2122319988 in words is "two billion, one hundred twenty-two million, three hundred nineteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 89 108 114 171 178 228 267 342 356 513 534 684 801 1026 1068 1602 1691 2052 2403 3204 3382 4806 5073 6764 9612 10146 11621 15219 20292 23242 30438 34863 45657 46484 60876 69726 91314 104589 139452 182628 209178 220799 313767 418356 441598 627534 662397 883196 1034269 1255068 1324794 1987191 2068538 2649588 3102807 3974382 4137076 5961573 6205614 7948764 9308421 11923146 12411228 18616842 19651111 23846292 27925263 37233684 39302222 55850526 58953333 78604444 111701052 117906666 176859999 235813332 353719998 530579997 707439996 1061159994 2122319988