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22434222672 = 243611317021
BaseRepresentation
bin10100111001001011…
…110001001001010000
32010220110221121000000
4110321023301021100
5331421130111142
614150043130000
71422640514001
oct247113611120
963813847000
1022434222672
1195725965a4
124421213900
132166ab6594
14112b6d31a8
158b480214c
hex5392f1250

22434222672 has 140 divisors (see below), whose sum is σ = 65750232564. Its totient is φ = 7411461120.

The previous prime is 22434222647. The next prime is 22434222677. The reversal of 22434222672 is 27622243422.

22434222672 is a `hidden beast` number, since 2 + 24 + 342 + 226 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10816832016 + 11617390656 = 104004^2 + 107784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22434222677) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1309522 + ... + 1326542.

Almost surely, 222434222672 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 22434222672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32875116282).

22434222672 is an abundant number, since it is smaller than the sum of its proper divisors (43316009892).

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

22434222672 is a wasteful number, since it uses less digits than its factorization.

22434222672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17160 (or 17139 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The spelling of 22434222672 in words is "twenty-two billion, four hundred thirty-four million, two hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 243 324 339 432 452 486 648 678 729 904 972 1017 1296 1356 1458 1808 1944 2034 2712 2916 3051 3888 4068 5424 5832 6102 8136 9153 11664 12204 16272 17021 18306 24408 27459 34042 36612 48816 51063 54918 68084 73224 82377 102126 109836 136168 146448 153189 164754 204252 219672 272336 306378 329508 408504 439344 459567 612756 659016 817008 919134 1225512 1318032 1378701 1838268 1923373 2451024 2757402 3676536 3846746 4136103 5514804 5770119 7353072 7693492 8272206 11029608 11540238 12408309 15386984 16544412 17310357 22059216 23080476 24816618 30773968 33088824 34620714 46160952 49633236 51931071 66177648 69241428 92321904 99266472 103862142 138482856 155793213 198532944 207724284 276965712 311586426 415448568 467379639 623172852 830897136 934759278 1246345704 1402138917 1869518556 2492691408 2804277834 3739037112 5608555668 7478074224 11217111336 22434222672