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22413412329 = 37116112171307
BaseRepresentation
bin10100110111111100…
…011000011111101001
32010212000210022120120
4110313330120133221
5331400313143304
614144021113453
71422265601310
oct246774303751
963760708516
1022413412329
119561872470
124416258889
1321626ab379
141128a37277
158b2a910d9
hex537f187e9

22413412329 has 64 divisors (see below), whose sum is σ = 37929572352. Its totient is φ = 11434291200.

The previous prime is 22413412303. The next prime is 22413412349. The reversal of 22413412329 is 92321431422.

It is not a de Polignac number, because 22413412329 - 27 = 22413412201 is a prime.

It is a super-2 number, since 2×224134123292 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 22413412329.

It is not an unprimeable number, because it can be changed into a prime (22413412349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17148094 + ... + 17149400.

It is an arithmetic number, because the mean of its divisors is an integer number (592649568).

Almost surely, 222413412329 is an apocalyptic number.

It is an amenable number.

22413412329 is a deficient number, since it is larger than the sum of its proper divisors (15516160023).

22413412329 is a wasteful number, since it uses less digits than its factorization.

22413412329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606.

The product of its digits is 20736, while the sum is 33.

The spelling of 22413412329 in words is "twenty-two billion, four hundred thirteen million, four hundred twelve thousand, three hundred twenty-nine".

Divisors: 1 3 7 11 21 33 61 77 183 231 427 671 1217 1281 1307 2013 3651 3921 4697 8519 9149 13387 14091 14377 25557 27447 40161 43131 74237 79727 93709 100639 222711 239181 281127 301917 519659 558089 816607 876997 1558977 1590619 1674267 2449821 2630991 4771857 5716249 6138979 11134333 17148747 17496809 18416937 33402999 52490427 97027759 122477663 291083277 367432989 679194313 1067305349 2037582939 3201916047 7471137443 22413412329