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22014024340 = 22571119752359
BaseRepresentation
bin10100100000001000…
…110101101010010100
32002211012021022020211
4110200020311222110
5330041042234330
614040232535204
71406346055660
oct244010655224
962735238224
1022014024340
119377385350
124324551504
1320caa22509
1410cb9918a0
1588c99dd2a
hex520235a94

22014024340 has 96 divisors (see below), whose sum is σ = 60670310400. Its totient is φ = 6500373120.

The previous prime is 22014024317. The next prime is 22014024457. The reversal of 22014024340 is 4342041022.

It is a happy number.

It is a super-2 number, since 2×220140243402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346920 + ... + 405439.

It is an arithmetic number, because the mean of its divisors is an integer number (631982400).

Almost surely, 222014024340 is an apocalyptic number.

22014024340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22014024340 is an abundant number, since it is smaller than the sum of its proper divisors (38656286060).

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

22014024340 is a wasteful number, since it uses less digits than its factorization.

22014024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752405 (or 752403 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22014024340 its reverse (4342041022), we get a palindrome (26356065362).

The spelling of 22014024340 in words is "twenty-two billion, fourteen million, twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 14630 29260 752359 1504718 3009436 3761795 5266513 7523590 8275949 10533026 14294821 15047180 16551898 21066052 26332565 28589642 33103796 41379745 52665130 57179284 57931643 71474105 82759490 100063747 105330260 115863286 142948210 157243031 165518980 200127494 231726572 285896420 289658215 314486062 400254988 500318735 579316430 628972124 786215155 1000637470 1100701217 1158632860 1572430310 2001274940 2201402434 3144860620 4402804868 5503506085 11007012170 22014024340