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22123342320 = 2435898771181
BaseRepresentation
bin10100100110101001…
…110110100111110000
32010002210222020022220
4110212221312213300
5330302033423240
614055140001040
71412144210202
oct244651664760
963083866286
1022123342320
119423060592
124355090180
132117579301
1410dc2ca772
158973945d0
hex526a769f0

22123342320 has 160 divisors (see below), whose sum is σ = 69490820160. Its totient is φ = 5821685760.

The previous prime is 22123342273. The next prime is 22123342321. The reversal of 22123342320 is 2324332122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123342321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18732130 + ... + 18733310.

It is an arithmetic number, because the mean of its divisors is an integer number (434317626).

Almost surely, 222123342320 is an apocalyptic number.

22123342320 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 22123342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34745410080).

22123342320 is an abundant number, since it is smaller than the sum of its proper divisors (47367477840).

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

22123342320 is a wasteful number, since it uses less digits than its factorization.

22123342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22123342320 its reverse (2324332122), we get a palindrome (24447674442).

The spelling of 22123342320 in words is "twenty-two billion, one hundred twenty-three million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 877 890 1068 1181 1335 1424 1754 1780 2136 2362 2631 2670 3508 3543 3560 4272 4385 4724 5262 5340 5905 7016 7086 7120 8770 9448 10524 10680 11810 13155 14032 14172 17540 17715 18896 21048 21360 23620 26310 28344 35080 35430 42096 47240 52620 56688 70160 70860 78053 94480 105109 105240 141720 156106 210218 210480 234159 283440 312212 315327 390265 420436 468318 525545 624424 630654 780530 840872 936636 1035737 1051090 1170795 1248848 1261308 1561060 1576635 1681744 1873272 2071474 2102180 2341590 2522616 3107211 3122120 3153270 3746544 4142948 4204360 4683180 5045232 5178685 6214422 6244240 6306540 8285896 8408720 9366360 10357370 12428844 12613080 15536055 16571792 18732720 20714740 24857688 25226160 31072110 41429480 49715376 62144220 82858960 92180593 124288440 184361186 248576880 276541779 368722372 460902965 553083558 737444744 921805930 1106167116 1382708895 1474889488 1843611860 2212334232 2765417790 3687223720 4424668464 5530835580 7374447440 11061671160 22123342320