Search a number
-
+
22408836944 = 24131316411283
BaseRepresentation
bin10100110111101010…
…111011011101010000
32010211201011212022212
4110313222323131100
5331343130240234
614143335051252
71422211654064
oct246752733520
963751155285
1022408836944
11955a22795a
124414810b28
132161768940
1411281a5aa4
158b248a5ce
hex537abb750

22408836944 has 80 divisors (see below), whose sum is σ = 47224102464. Its totient is φ = 10239590400.

The previous prime is 22408836941. The next prime is 22408836953. The reversal of 22408836944 is 44963880422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22408836892 and 22408836901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22408836941) 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, 17465327 + ... + 17466609.

Almost surely, 222408836944 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 22408836944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23612051232).

22408836944 is an abundant number, since it is smaller than the sum of its proper divisors (24815265520).

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

22408836944 is a wasteful number, since it uses less digits than its factorization.

22408836944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 22408836944 in words is "twenty-two billion, four hundred eight million, eight hundred thirty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 131 208 262 524 641 1048 1282 1283 1703 2096 2564 2566 3406 5128 5132 6812 8333 10256 10264 13624 16666 16679 20528 27248 33332 33358 66664 66716 83971 133328 133432 167942 168073 266864 335884 336146 671768 672292 822403 1091623 1343536 1344584 1644806 2183246 2184949 2689168 3289612 4366492 4369898 6579224 8732984 8739796 10691239 13158448 17465968 17479592 21382478 34959184 42764956 85529912 107734793 171059824 215469586 430939172 861878344 1400552309 1723756688 2801104618 5602209236 11204418472 22408836944