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22148841780 = 22325139465317
BaseRepresentation
bin10100101000001011…
…001000000100110100
32010011120221202000100
4110220023020010310
5330330100414110
614101450314100
71412604022512
oct245013100464
963146852010
1022148841780
11943649771a
124361728930
13211c936950
1411018474b2
1589972ebc0
hex5282c8134

22148841780 has 72 divisors (see below), whose sum is σ = 72352890792. Its totient is φ = 5452022016.

The previous prime is 22148841779. The next prime is 22148841821. The reversal of 22148841780 is 8714884122.

22148841780 is a `hidden beast` number, since 221 + 4 + 8 + 8 + 417 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1090188324 + 21058653456 = 33018^2 + 145116^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4730319 + ... + 4734998.

It is an arithmetic number, because the mean of its divisors is an integer number (1004901261).

Almost surely, 222148841780 is an apocalyptic number.

22148841780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22148841780 is an abundant number, since it is smaller than the sum of its proper divisors (50204049012).

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

22148841780 is a wasteful number, since it uses less digits than its factorization.

22148841780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9465345 (or 9465340 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 22148841780 in words is "twenty-two billion, one hundred forty-eight million, eight hundred forty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 9465317 18930634 28395951 37861268 47326585 56791902 85187853 94653170 113583804 123049121 141979755 170375706 189306340 246098242 283959510 340751412 369147363 425939265 492196484 567919020 615245605 738294726 851878530 1107442089 1230491210 1476589452 1703757060 1845736815 2214884178 2460982420 3691473630 4429768356 5537210445 7382947260 11074420890 22148841780