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22014004340 = 2251736362429
BaseRepresentation
bin10100100000001000…
…110000110001110100
32002211012020021211002
4110200020300301310
5330041041114330
614040232302432
71406345643446
oct244010606164
962735207732
1022014004340
119377371319
124324541a18
1320caa16393
1410cb988496
1588c997e45
hex520230c74

22014004340 has 24 divisors (see below), whose sum is σ = 46496638440. Its totient is φ = 8754700928.

The previous prime is 22014004289. The next prime is 22014004379. The reversal of 22014004340 is 4340041022.

It can be written as a sum of positive squares in 4 ways, for example, as 701508196 + 21312496144 = 26486^2 + 145988^2 .

It is a super-4 number, since 4×220140043404 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3177755 + ... + 3184674.

It is an arithmetic number, because the mean of its divisors is an integer number (1937359935).

Almost surely, 222014004340 is an apocalyptic number.

22014004340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22014004340 is an abundant number, since it is smaller than the sum of its proper divisors (24482634100).

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

22014004340 is a wasteful number, since it uses less digits than its factorization.

22014004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362611 (or 6362609 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22014004340 its reverse (4340041022), we get a palindrome (26354045362).

The spelling of 22014004340 in words is "twenty-two billion, fourteen million, four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 6362429 12724858 25449716 31812145 63624290 127248580 1100700217 2201400434 4402800868 5503501085 11007002170 22014004340