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21942724230 = 2345737910211
BaseRepresentation
bin10100011011111000…
…110110011010000110
32002122020002212220000
4110123320312122012
5324414314133410
614025204422130
71404522035640
oct243370663206
962566085800
1021942724230
119340106539
1243046a7946
1320b9019cbb
1410c2311890
158865b7dc0
hex51be36686

21942724230 has 160 divisors (see below), whose sum is σ = 67614877440. Its totient is φ = 5001756480.

The previous prime is 21942724229. The next prime is 21942724337. The reversal of 21942724230 is 3242724912.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2143825 + ... + 2154035.

It is an arithmetic number, because the mean of its divisors is an integer number (422592984).

Almost surely, 221942724230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21942724230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33807438720).

21942724230 is an abundant number, since it is smaller than the sum of its proper divisors (45672153210).

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

21942724230 is a wasteful number, since it uses less digits than its factorization.

21942724230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21942724230 in words is "twenty-one billion, nine hundred forty-two million, seven hundred twenty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 379 405 567 630 758 810 945 1134 1137 1890 1895 2274 2653 2835 3411 3790 5306 5670 5685 6822 7959 10211 10233 11370 13265 15918 17055 20422 20466 23877 26530 30633 30699 34110 39795 47754 51055 51165 61266 61398 71477 71631 79590 91899 102110 102330 119385 142954 143262 153165 153495 183798 214431 214893 238770 275697 306330 306990 357385 358155 428862 429786 459495 551394 643293 714770 716310 827091 918990 1072155 1074465 1286586 1378485 1654182 1929879 2144310 2148930 2756970 3216465 3859758 3869969 4135455 5789637 6432930 7739938 8270910 9649395 11579274 11609907 19298790 19349845 23219814 27089783 28948185 34829721 38699690 54179566 57896370 58049535 69659442 81269349 104489163 116099070 135448915 162538698 174148605 208978326 243808047 270897830 313467489 348297210 406346745 487616094 522445815 626934978 731424141 812693490 1044891630 1219040235 1462848282 1567337445 2194272423 2438080470 3134674890 3657120705 4388544846 7314241410 10971362115 21942724230