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22404422240 = 2551912812609
BaseRepresentation
bin10100110111011010…
…000101101001100000
32010211101212120111022
4110313122011221200
5331341013002430
614143100305012
71422126306164
oct246732055140
963741776438
1022404422240
119557792042
124413242168
1321608813a5
141127776ca4
158b1db74e5
hex537685a60

22404422240 has 96 divisors (see below), whose sum is σ = 53417387520. Its totient is φ = 8879718400.

The previous prime is 22404422237. The next prime is 22404422267. The reversal of 22404422240 is 4222440422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8586056 + ... + 8588664.

It is an arithmetic number, because the mean of its divisors is an integer number (556431120).

Almost surely, 222404422240 is an apocalyptic number.

22404422240 is a gapful number since it is divisible by the number (20) 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 22404422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26708693760).

22404422240 is an abundant number, since it is smaller than the sum of its proper divisors (31012965280).

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

22404422240 is a wasteful number, since it uses less digits than its factorization.

22404422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 22404422240 its reverse (4222440422), we get a palindrome (26626862662).

The spelling of 22404422240 in words is "twenty-two billion, four hundred four million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 281 382 562 764 955 1124 1405 1528 1910 2248 2609 2810 3056 3820 4496 5218 5620 6112 7640 8992 10436 11240 13045 15280 20872 22480 26090 30560 41744 44960 52180 53671 83488 104360 107342 208720 214684 268355 417440 429368 498319 536710 733129 858736 996638 1073420 1466258 1717472 1993276 2146840 2491595 2932516 3665645 3986552 4293680 4983190 5865032 7331290 7973104 8587360 9966380 11730064 14662580 15946208 19932760 23460128 29325160 39865520 58650320 79731040 117300640 140027639 280055278 560110556 700138195 1120221112 1400276390 2240442224 2800552780 4480884448 5601105560 11202211120 22404422240