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22053320140040 = 2357229917376097
BaseRepresentation
bin1010000001110101100000…
…10100000010010100001000
32220002021110210120010011022
411000322300110002110020
510342310144423440130
6114523053322452012
74434204555156200
oct500726024022410
986067423503138
1022053320140040
117032840321262
1225820b8364008
13c3c8083cc217
1456355a37b400
152839cde387e5
hex140eb0502508

22053320140040 has 96 divisors (see below), whose sum is σ = 57723272815320. Its totient is φ = 7560865492992.

The previous prime is 22053320139989. The next prime is 22053320140091. The reversal of 22053320140040 is 4004102335022.

It is an interprime number because it is at equal distance from previous prime (22053320139989) and next prime (22053320140091).

It can be written as a sum of positive squares in 4 ways, for example, as 16188117714916 + 5865202425124 = 4023446^2 + 2421818^2 .

It is a super-2 number, since 2×220533201400402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22053320139991 and 22053320140009.

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, 58449272 + ... + 58825368.

Almost surely, 222053320140040 is an apocalyptic number.

22053320140040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22053320140040 is an abundant number, since it is smaller than the sum of its proper divisors (35669952675280).

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

22053320140040 is a wasteful number, since it uses less digits than its factorization.

22053320140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406039 (or 406028 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 22053320140040 its reverse (4004102335022), we get a palindrome (26057422475062).

The spelling of 22053320140040 in words is "twenty-two trillion, fifty-three billion, three hundred twenty million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 29917 59834 119668 149585 209419 239336 299170 376097 418838 598340 752194 837676 1047095 1196680 1465933 1504388 1675352 1880485 2094190 2632679 2931866 3008776 3760970 4188380 5265358 5863732 7329665 7521940 8376760 10530716 11727464 13163395 14659330 15043880 18428753 21061432 26326790 29318660 36857506 52653580 58637320 73715012 92143765 105307160 147430024 184287530 368575060 737150120 11251693949 22503387898 45006775796 56258469745 78761857643 90013551592 112516939490 157523715286 225033878980 315047430572 393809288215 450067757960 551333003501 630094861144 787618576430 1102666007002 1575237152860 2205332014004 2756665017505 3150474305720 4410664028008 5513330035010 11026660070020 22053320140040