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22415146140 = 22356710155207
BaseRepresentation
bin10100111000000010…
…111111110010011100
32010212011001101220210
4110320002333302130
5331401234134030
614144122212420
71422316412202
oct247002776234
963764041823
1022415146140
119562847072
124416954110
132162b675aa
141128d69072
158b2cd4bb0
hex5380bfc9c

22415146140 has 96 divisors (see below), whose sum is σ = 64331011584. Its totient is φ = 5829753600.

The previous prime is 22415146139. The next prime is 22415146151. The reversal of 22415146140 is 4164151422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22415146098 and 22415146107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378417 + ... + 433623.

It is an arithmetic number, because the mean of its divisors is an integer number (670114704).

Almost surely, 222415146140 is an apocalyptic number.

22415146140 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 22415146140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32165505792).

22415146140 is an abundant number, since it is smaller than the sum of its proper divisors (41915865444).

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

22415146140 is a wasteful number, since it uses less digits than its factorization.

22415146140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55387 (or 55385 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 22415146140 its reverse (4164151422), we get a palindrome (26579297562).

The spelling of 22415146140 in words is "twenty-two billion, four hundred fifteen million, one hundred forty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 101 134 201 202 268 303 335 402 404 505 606 670 804 1005 1010 1212 1340 1515 2010 2020 3030 4020 6060 6767 13534 20301 27068 33835 40602 55207 67670 81204 101505 110414 135340 165621 203010 220828 276035 331242 406020 552070 662484 828105 1104140 1656210 3312420 3698869 5575907 7397738 11096607 11151814 14795476 16727721 18494345 22193214 22303628 27879535 33455442 36988690 44386428 55483035 55759070 66910884 73977380 83638605 110966070 111518140 167277210 221932140 334554420 373585769 747171538 1120757307 1494343076 1867928845 2241514614 3735857690 4483029228 5603786535 7471715380 11207573070 22415146140