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22295940768 = 253449117519
BaseRepresentation
bin10100110000111100…
…010000111010100000
32010112211202010220000
4110300330100322200
5331130230101033
614124223220000
71416341240523
oct246074207240
963484663800
1022295940768
119501528332
1243a2a47600
13214425b27a
1411171b8bba
158a75d9a13
hex530f10ea0

22295940768 has 120 divisors (see below), whose sum is σ = 65709040320. Its totient is φ = 7416420480.

The previous prime is 22295940763. The next prime is 22295940809. The reversal of 22295940768 is 86704959222.

22295940768 is a `hidden beast` number, since 2 + 229 + 5 + 9 + 407 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22295940763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1263913 + ... + 1281431.

It is an arithmetic number, because the mean of its divisors is an integer number (547575336).

Almost surely, 222295940768 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 22295940768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32854520160).

22295940768 is an abundant number, since it is smaller than the sum of its proper divisors (43413099552).

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

22295940768 is a wasteful number, since it uses less digits than its factorization.

22295940768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18032 (or 18015 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 22295940768 in words is "twenty-two billion, two hundred ninety-five million, nine hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 491 648 864 982 1296 1473 1964 2592 2946 3928 4419 5892 7856 8838 11784 13257 15712 17519 17676 23568 26514 35038 35352 39771 47136 52557 53028 70076 70704 79542 105114 106056 140152 141408 157671 159084 210228 212112 280304 315342 318168 420456 424224 473013 560608 630684 636336 840912 946026 1261368 1272672 1419039 1681824 1892052 2522736 2838078 3784104 5045472 5676156 7568208 8601829 11352312 15136416 17203658 22704624 25805487 34407316 45409248 51610974 68814632 77416461 103221948 137629264 154832922 206443896 232249383 275258528 309665844 412887792 464498766 619331688 696748149 825775584 928997532 1238663376 1393496298 1857995064 2477326752 2786992596 3715990128 5573985192 7431980256 11147970384 22295940768