Search a number
-
+
22025236462240 = 2551112514338899
BaseRepresentation
bin1010000001000001001100…
…11001010011101010100000
32212222120222121011110122111
411000200212121103222200
510341330141013242430
6114502130504045104
74432161614640424
oct500404631235240
985876877143574
1022025236462240
117021939871490
12257877b163794
13c39c810640ab
14562054648b84
15282dd8693c2a
hex140826653aa0

22025236462240 has 48 divisors (see below), whose sum is σ = 56765041250400. Its totient is φ = 8009176894720.

The previous prime is 22025236462231. The next prime is 22025236462249. The reversal of 22025236462240 is 4226463252022.

It is an interprime number because it is at equal distance from previous prime (22025236462231) and next prime (22025236462249).

It is a super-2 number, since 2×220252364622402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22025236462193 and 22025236462202.

It is not an unprimeable number, because it can be changed into a prime (22025236462249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6257167690 + ... + 6257171209.

It is an arithmetic number, because the mean of its divisors is an integer number (1182605026050).

Almost surely, 222025236462240 is an apocalyptic number.

22025236462240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22025236462240 is an abundant number, since it is smaller than the sum of its proper divisors (34739804788160).

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

22025236462240 is a wasteful number, since it uses less digits than its factorization.

22025236462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12514338925 (or 12514338917 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The spelling of 22025236462240 in words is "twenty-two trillion, twenty-five billion, two hundred thirty-six million, four hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 12514338899 25028677798 50057355596 62571694495 100114711192 125143388990 137657727889 200229422384 250286777980 275315455778 400458844768 500573555960 550630911556 688288639445 1001147111920 1101261823112 1376577278890 2002294223840 2202523646224 2753154557780 4405047292448 5506309115560 11012618231120 22025236462240