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22742321940 = 22335133239647
BaseRepresentation
bin10101001011100011…
…000100101100010100
32011200221200122202000
4111023203010230110
5333034013300230
614240410515300
71433401355412
oct251343045424
964627618660
1022742321940
1197104a2098
1244a8435b30
1321b588ba40
14115a5b42b2
158d18b0b60
hex54b8c4b14

22742321940 has 96 divisors (see below), whose sum is σ = 76196520960. Its totient is φ = 5598108288.

The previous prime is 22742321911. The next prime is 22742321993. The reversal of 22742321940 is 4912324722.

It is a happy number.

22742321940 is a `hidden beast` number, since 227 + 423 + 2 + 1 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22742321895 and 22742321904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1612804 + ... + 1626843.

It is an arithmetic number, because the mean of its divisors is an integer number (793713760).

Almost surely, 222742321940 is an apocalyptic number.

22742321940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22742321940 is an abundant number, since it is smaller than the sum of its proper divisors (53454199020).

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

22742321940 is a wasteful number, since it uses less digits than its factorization.

22742321940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239678 (or 3239670 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22742321940 in words is "twenty-two billion, seven hundred forty-two million, three hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 3239647 6479294 9718941 12958588 16198235 19437882 29156823 32396470 38875764 42115411 48594705 58313646 64792940 84230822 87470469 97189410 116627292 126346233 145784115 168461644 174940938 194378820 210577055 252692466 291568230 349881876 379038699 421154110 437352345 505384932 583136460 631731165 758077398 842308220 874704690 1137116097 1263462330 1516154796 1749409380 1895193495 2274232194 2526924660 3790386990 4548464388 5685580485 7580773980 11371160970 22742321940