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20155135224 = 2337417141213
BaseRepresentation
bin10010110001010101…
…101111010011111000
31221000122102221202210
4102301111233103320
5312234203311344
613131550255120
71312314552120
oct226125572370
957018387683
1020155135224
118603059454
123aa5ab74a0
131b92884023
14d92b49c80
157ce6b1db9
hex4b156f4f8

20155135224 has 128 divisors (see below), whose sum is σ = 59822945280. Its totient is φ = 5538892800.

The previous prime is 20155135223. The next prime is 20155135261. The reversal of 20155135224 is 42253155102.

It is a junction number, because it is equal to n+sod(n) for n = 20155135191 and 20155135200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20155135223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468442 + ... + 509654.

It is an arithmetic number, because the mean of its divisors is an integer number (467366760).

Almost surely, 220155135224 is an apocalyptic number.

20155135224 is a gapful number since it is divisible by the number (24) 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 20155135224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29911472640).

20155135224 is an abundant number, since it is smaller than the sum of its proper divisors (39667810056).

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

20155135224 is a wasteful number, since it uses less digits than its factorization.

20155135224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41341 (or 41337 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 20155135224 in words is "twenty billion, one hundred fifty-five million, one hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 71 82 84 123 142 164 168 213 246 284 287 328 426 492 497 568 574 852 861 984 994 1148 1491 1704 1722 1988 2296 2911 2982 3444 3976 5822 5964 6888 8733 11644 11928 17466 20377 23288 34932 40754 41213 61131 69864 81508 82426 122262 123639 163016 164852 244524 247278 288491 329704 489048 494556 576982 865473 989112 1153964 1689733 1730946 2307928 2926123 3379466 3461892 5069199 5852246 6758932 6923784 8778369 10138398 11704492 11828131 13517864 17556738 20276796 20482861 23408984 23656262 35113476 35484393 40553592 40965722 47312524 61448583 70226952 70968786 81931444 94625048 119971043 122897166 141937572 163862888 239942086 245794332 283875144 359913129 479884172 491588664 719826258 839797301 959768344 1439652516 1679594602 2519391903 2879305032 3359189204 5038783806 6718378408 10077567612 20155135224