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22014413244 = 22326721434259
BaseRepresentation
bin10100100000001010…
…010100100110111100
32002211020000001201200
4110200022110212330
5330041142210434
614040245135500
71406352265545
oct244012244674
962736001650
1022014413244
11937762055a
1243246ba590
1320cab2a535
1410cba534cc
1588ca29199
hex5202949bc

22014413244 has 72 divisors (see below), whose sum is σ = 56517726720. Its totient is φ = 7223543712.

The previous prime is 22014413219. The next prime is 22014413249. The reversal of 22014413244 is 44231441022.

22014413244 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 4 + 413 + 244 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22014413249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5166787 + ... + 5171045.

Almost surely, 222014413244 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 22014413244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28258863360).

22014413244 is an abundant number, since it is smaller than the sum of its proper divisors (34503313476).

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

22014413244 is a wasteful number, since it uses less digits than its factorization.

22014413244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6479 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22014413244 its reverse (44231441022), we get a palindrome (66245854266).

The spelling of 22014413244 in words is "twenty-two billion, fourteen million, four hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2143 2412 4259 4286 6429 8518 8572 12777 12858 17036 19287 25554 25716 38331 38574 51108 76662 77148 143581 153324 285353 287162 430743 570706 574324 856059 861486 1141412 1292229 1712118 1722972 2568177 2584458 3424236 5136354 5168916 9127037 10272708 18254074 27381111 36508148 54762222 82143333 109524444 164286666 328573332 611511479 1223022958 1834534437 2446045916 3669068874 5503603311 7338137748 11007206622 22014413244