Search a number
-
+
22751250660 = 22325269547859
BaseRepresentation
bin10101001100000101…
…001000100011100100
32011201120111021122100
4111030011020203210
5333043310010120
614241330132100
71433540303565
oct251405104344
964646437570
1022751250660
1197155403a6
1244ab421030
1321b7696ac8
14115b85a16c
158d2576490
hex54c1488e4

22751250660 has 144 divisors (see below), whose sum is σ = 69476097600. Its totient is φ = 6026372352.

The previous prime is 22751250647. The next prime is 22751250667. The reversal of 22751250660 is 6605215722.

22751250660 is a `hidden beast` number, since 22 + 75 + 1 + 2 + 506 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22751250667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26485311 + ... + 26486169.

It is an arithmetic number, because the mean of its divisors is an integer number (482472900).

Almost surely, 222751250660 is an apocalyptic number.

22751250660 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 22751250660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34738048800).

22751250660 is an abundant number, since it is smaller than the sum of its proper divisors (46724846940).

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

22751250660 is a wasteful number, since it uses less digits than its factorization.

22751250660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 22751250660 in words is "twenty-two billion, seven hundred fifty-one million, two hundred fifty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 547 807 859 1076 1094 1345 1614 1641 1718 2188 2421 2577 2690 2735 3228 3282 3436 4035 4295 4842 4923 5154 5380 5470 6564 7731 8070 8205 8590 9684 9846 10308 10940 12105 12885 15462 16140 16410 17180 19692 24210 24615 25770 30924 32820 38655 48420 49230 51540 77310 98460 147143 154620 231071 294286 441429 462142 469873 588572 693213 735715 882858 924284 939746 1155355 1324287 1386426 1409619 1471430 1765716 1879492 2079639 2207145 2310710 2349365 2648574 2772852 2819238 2942860 3466065 4159278 4228857 4414290 4621420 4698730 5297148 5638476 6621435 6932130 7048095 8318556 8457714 8828580 9397460 10398195 13242870 13864260 14096190 16915428 20796390 21144285 26485740 28192380 41592780 42288570 84577140 126395837 252791674 379187511 505583348 631979185 758375022 1137562533 1263958370 1516750044 1895937555 2275125066 2527916740 3791875110 4550250132 5687812665 7583750220 11375625330 22751250660