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22374289620 = 223251014492741
BaseRepresentation
bin10100110101100111…
…001001000011010100
32010202022011200022100
4110311213021003110
5331310304231440
614140102402100
71421312216034
oct246547110324
963668150270
1022374289620
119541780a51
124405130330
132157560c37
1411237718c4
158ae414230
hex5359c90d4

22374289620 has 144 divisors (see below), whose sum is σ = 68718358800. Its totient is φ = 5892096000.

The previous prime is 22374289471. The next prime is 22374289627. The reversal of 22374289620 is 2698247322.

It can be written as a sum of positive squares in 8 ways, for example, as 662856516 + 21711433104 = 25746^2 + 147348^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22374289627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8161450 + ... + 8164190.

It is an arithmetic number, because the mean of its divisors is an integer number (477210825).

Almost surely, 222374289620 is an apocalyptic number.

22374289620 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 22374289620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34359179400).

22374289620 is an abundant number, since it is smaller than the sum of its proper divisors (46344069180).

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

22374289620 is a wasteful number, since it uses less digits than its factorization.

22374289620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22374289620 in words is "twenty-two billion, three hundred seventy-four million, two hundred eighty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 449 505 606 898 909 1010 1212 1347 1515 1796 1818 2020 2245 2694 2741 3030 3636 4041 4490 4545 5388 5482 6060 6735 8082 8223 8980 9090 10964 13470 13705 16164 16446 18180 20205 24669 26940 27410 32892 40410 41115 45349 49338 54820 80820 82230 90698 98676 123345 136047 164460 181396 226745 246690 272094 276841 408141 453490 493380 544188 553682 680235 816282 830523 906980 1107364 1230709 1360470 1384205 1632564 1661046 2040705 2461418 2491569 2720940 2768410 3322092 3692127 4081410 4152615 4922836 4983138 5536820 6153545 7384254 8162820 8305230 9966276 11076381 12307090 12457845 14768508 16610460 18460635 22152762 24614180 24915690 36921270 44305524 49831380 55381905 73842540 110763810 124301609 221527620 248603218 372904827 497206436 621508045 745809654 1118714481 1243016090 1491619308 1864524135 2237428962 2486032180 3729048270 4474857924 5593572405 7458096540 11187144810 22374289620