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22002234320 = 2451134337283
BaseRepresentation
bin10100011111011011…
…110111001111010000
32002210101002022101102
4110133123313033100
5330030032444240
614035132123532
71406143622513
oct243733671720
962711068342
1022002234320
119370762330
1243206065a8
1320c8454c81
1410ca1a2d7a
1588b920815
hex51f6f73d0

22002234320 has 80 divisors (see below), whose sum is σ = 55829587392. Its totient is φ = 7997383680.

The previous prime is 22002234259. The next prime is 22002234337. The reversal of 22002234320 is 2343220022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22002234292 and 22002234301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3017399 + ... + 3024681.

Almost surely, 222002234320 is an apocalyptic number.

22002234320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002234320 is an abundant number, since it is smaller than the sum of its proper divisors (33827353072).

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

22002234320 is a wasteful number, since it uses less digits than its factorization.

22002234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740 (or 10734 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22002234320 its reverse (2343220022), we get a palindrome (24345454342).

The spelling of 22002234320 in words is "twenty-two billion, two million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 3433 6866 7283 13732 14566 17165 27464 29132 34330 36415 37763 54928 58264 68660 72830 75526 80113 116528 137320 145660 151052 160226 188815 274640 291320 302104 320452 377630 400565 582640 604208 640904 755260 801130 1281808 1510520 1602260 3021040 3204520 6409040 25002539 50005078 100010156 125012695 200020312 250025390 275027929 400040624 500050780 550055858 1000101560 1100111716 1375139645 2000203120 2200223432 2750279290 4400446864 5500558580 11001117160 22002234320