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2022102132 = 22319231672309
BaseRepresentation
bin111100010000110…
…1101010001110100
312012220221102122120
41320201231101310
513120124232012
6532352355540
7101052404331
oct17041552164
95186842576
102022102132
11948473296
12485245bb0
13262c1554b
141527ad988
15bc7cb58c
hex7886d474

2022102132 has 96 divisors (see below), whose sum is σ = 5215795200. Its totient is φ = 606874752.

The previous prime is 2022102119. The next prime is 2022102139. The reversal of 2022102132 is 2312012202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022102139) 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, 874594 + ... + 876902.

It is an arithmetic number, because the mean of its divisors is an integer number (54331200).

Almost surely, 22022102132 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 2022102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607897600).

2022102132 is an abundant number, since it is smaller than the sum of its proper divisors (3193693068).

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

2022102132 is a wasteful number, since it uses less digits than its factorization.

2022102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2022102132 is about 44967.7899390219. The cubic root of 2022102132 is about 1264.5452144072.

Adding to 2022102132 its reverse (2312012202), we get a palindrome (4334114334).

The spelling of 2022102132 in words is "two billion, twenty-two million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 167 228 276 334 437 501 668 874 1002 1311 1748 2004 2309 2622 3173 3841 4618 5244 6346 6927 7682 9236 9519 11523 12692 13854 15364 19038 23046 27708 38076 43871 46092 53107 72979 87742 106214 131613 145958 159321 175484 212428 218937 263226 291916 318642 385603 437874 526452 637284 771206 875748 1009033 1156809 1542412 2018066 2313618 3027099 4036132 4627236 6054198 7326457 8868869 12108396 14652914 17737738 21979371 26606607 29305828 35475476 43958742 53213214 87917484 106426428 168508511 337017022 505525533 674034044 1011051066 2022102132