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22994414016 = 263726365053
BaseRepresentation
bin10101011010100100…
…101110100111000000
32012100112001021001120
4111122210232213000
5334043032222031
614321414032240
71442552202630
oct253244564700
965315037046
1022994414016
11982a824652
124558948680
132225b84752
141181c766c0
158e8aa9a96
hex55a92e9c0

22994414016 has 112 divisors (see below), whose sum is σ = 69796176384. Its totient is φ = 6544751616.

The previous prime is 22994414011. The next prime is 22994414101. The reversal of 22994414016 is 61041449922.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22994414011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320946 + ... + 385998.

Almost surely, 222994414016 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 22994414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34898088192).

22994414016 is an abundant number, since it is smaller than the sum of its proper divisors (46801762368).

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

22994414016 is a wasteful number, since it uses less digits than its factorization.

22994414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65338 (or 65328 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 22994414016 in words is "twenty-two billion, nine hundred ninety-four million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 263 336 448 526 672 789 1052 1344 1578 1841 2104 3156 3682 4208 5523 6312 7364 8416 11046 12624 14728 16832 22092 25248 29456 44184 50496 58912 65053 88368 117824 130106 176736 195159 260212 353472 390318 455371 520424 780636 910742 1040848 1366113 1561272 1821484 2081696 2732226 3122544 3642968 4163392 5464452 6245088 7285936 10928904 12490176 14571872 17108939 21857808 29143744 34217878 43715616 51326817 68435756 87431232 102653634 119762573 136871512 205307268 239525146 273743024 359287719 410614536 479050292 547486048 718575438 821229072 958100584 1094972096 1437150876 1642458144 1916201168 2874301752 3284916288 3832402336 5748603504 7664804672 11497207008 22994414016