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22693349320 = 2356122974049
BaseRepresentation
bin10101001000101000…
…010000011111001000
32011120112112120221021
4111020220100133020
5332433444134240
614231501122224
71432235200165
oct251050203710
964515476837
1022693349320
119695893254
124493b59374
1321a86a3165
141153ca706c
158cc43a54a
hex548a107c8

22693349320 has 64 divisors (see below), whose sum is σ = 51932502000. Its totient is φ = 8922439680.

The previous prime is 22693349299. The next prime is 22693349377. The reversal of 22693349320 is 2394339622.

It can be written as a sum of positive squares in 8 ways, for example, as 1536483204 + 21156866116 = 39198^2 + 145454^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5602656 + ... + 5606704.

Almost surely, 222693349320 is an apocalyptic number.

22693349320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22693349320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25966251000).

22693349320 is an abundant number, since it is smaller than the sum of its proper divisors (29239152680).

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

22693349320 is a wasteful number, since it uses less digits than its factorization.

22693349320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 43.

The spelling of 22693349320 in words is "twenty-two billion, six hundred ninety-three million, three hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2297 2440 4049 4594 8098 9188 11485 16196 18376 20245 22970 32392 40490 45940 80980 91880 140117 161960 246989 280234 493978 560468 700585 987956 1120936 1234945 1401170 1975912 2469890 2802340 4939780 5604680 9300553 9879560 18601106 37202212 46502765 74404424 93005530 186011060 372022120 567333733 1134667466 2269334932 2836668665 4538669864 5673337330 11346674660 22693349320