Search a number
-
+
22763500368 = 2437221145869
BaseRepresentation
bin10101001100110011…
…110111001101010000
32011202102112122002020
4111030303313031100
5333104424002433
614242444451440
71434046363200
oct251463671520
964672478066
1022763500368
119721447824
1244b3549b80
1321ba09565b
14115d328400
158d3695cb3
hex54ccf7350

22763500368 has 120 divisors (see below), whose sum is σ = 68732341920. Its totient is φ = 6472892160.

The previous prime is 22763500349. The next prime is 22763500391. The reversal of 22763500368 is 86300536722.

It is a happy number.

It is a super-2 number, since 2×227635003682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473338 + ... + 519206.

It is an arithmetic number, because the mean of its divisors is an integer number (572769516).

Almost surely, 222763500368 is an apocalyptic number.

22763500368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22763500368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34366170960).

22763500368 is an abundant number, since it is smaller than the sum of its proper divisors (45968841552).

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

22763500368 is a wasteful number, since it uses less digits than its factorization.

22763500368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46105 (or 46092 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 22763500368 in words is "twenty-two billion, seven hundred sixty-three million, five hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 211 294 336 392 422 588 633 784 844 1176 1266 1477 1688 2352 2532 2954 3376 4431 5064 5908 8862 10128 10339 11816 17724 20678 23632 31017 35448 41356 45869 62034 70896 82712 91738 124068 137607 165424 183476 248136 275214 321083 366952 496272 550428 642166 733904 963249 1100856 1284332 1926498 2201712 2247581 2568664 3852996 4495162 5137328 6742743 7705992 8990324 9678359 13485486 15411984 17980648 19356718 26970972 29035077 35961296 38713436 53941944 58070154 67748513 77426872 107883888 116140308 135497026 154853744 203245539 232280616 270994052 406491078 464561232 474239591 541988104 812982156 948479182 1083976208 1422718773 1625964312 1896958364 2845437546 3251928624 3793916728 5690875092 7587833456 11381750184 22763500368