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22240020114 = 23213349272329
BaseRepresentation
bin10100101101100110…
…111100011010010010
32010101221112002011200
4110231212330122102
5331021421120424
614114504452030
71415062023534
oct245546743222
963357462150
1022240020114
119482a03314
12438817a016
1321357ac020
14110d9bd854
158a27408c9
hex52d9bc692

22240020114 has 48 divisors (see below), whose sum is σ = 52042263000. Its totient is φ = 6823450368.

The previous prime is 22240020079. The next prime is 22240020151. The reversal of 22240020114 is 41102004222.

It can be written as a sum of positive squares in 4 ways, for example, as 13316006025 + 8924014089 = 115395^2 + 94467^2 .

It is a super-2 number, since 2×222400201142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54499 + ... + 217830.

Almost surely, 222240020114 is an apocalyptic number.

22240020114 is an abundant number, since it is smaller than the sum of its proper divisors (29802242886).

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

22240020114 is a wasteful number, since it uses less digits than its factorization.

22240020114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272699 (or 272696 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22240020114 its reverse (41102004222), we get a palindrome (63342024336).

The spelling of 22240020114 in words is "twenty-two billion, two hundred forty million, twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 349 698 1047 2094 3141 4537 6282 9074 13611 27222 40833 81666 272329 544658 816987 1633974 2450961 3540277 4901922 7080554 10620831 21241662 31862493 63724986 95042821 190085642 285128463 570256926 855385389 1235556673 1710770778 2471113346 3706670019 7413340038 11120010057 22240020114