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22024040040 = 2332583737083
BaseRepresentation
bin10100100000101111…
…000010111001101000
32002211220010011012200
4110200233002321220
5330101123240130
614041231340200
71406530152162
oct244057027150
962756104180
1022024040040
119381aa6292
124327981660
1320ccb1b272
1410cd03b932
1588d7cb760
hex520bc2e68

22024040040 has 96 divisors (see below), whose sum is σ = 72440615520. Its totient is φ = 5802309504.

The previous prime is 22024039997. The next prime is 22024040089. The reversal of 22024040040 is 4004042022.

22024040040 is a `hidden beast` number, since 2 + 20 + 240 + 400 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22024039995 and 22024040022.

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, 338662 + ... + 398421.

It is an arithmetic number, because the mean of its divisors is an integer number (754589745).

Almost surely, 222024040040 is an apocalyptic number.

22024040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22024040040 is an abundant number, since it is smaller than the sum of its proper divisors (50416575480).

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

22024040040 is a wasteful number, since it uses less digits than its factorization.

22024040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737183 (or 737176 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22024040040 its reverse (4004042022), we get a palindrome (26028082062).

The spelling of 22024040040 in words is "twenty-two billion, twenty-four million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1992 2490 2988 3320 3735 4980 5976 7470 9960 14940 29880 737083 1474166 2211249 2948332 3685415 4422498 5896664 6633747 7370830 8844996 11056245 13267494 14741660 17689992 22112490 26534988 29483320 33168735 44224980 53069976 61177889 66337470 88449960 122355778 132674940 183533667 244711556 265349880 305889445 367067334 489423112 550601001 611778890 734134668 917668335 1101202002 1223557780 1468269336 1835336670 2202404004 2447115560 2753005005 3670673340 4404808008 5506010010 7341346680 11012020020 22024040040