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22021023104 = 271923115373
BaseRepresentation
bin10100100000100011…
…100010010110000000
32002211200102212202022
4110200203202112000
5330044340214404
614041042541012
71406462415353
oct244043422600
962750385668
1022021023104
119380325653
124326967768
1320cc302cb2
1410cc89429a
1588d3d28be
hex5208e2580

22021023104 has 96 divisors (see below), whose sum is σ = 47797151040. Its totient is φ = 10093870080.

The previous prime is 22021023097. The next prime is 22021023107. The reversal of 22021023104 is 40132012022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021023107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1424762 + ... + 1440134.

It is an arithmetic number, because the mean of its divisors is an integer number (497886990).

Almost surely, 222021023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23898575520).

22021023104 is an abundant number, since it is smaller than the sum of its proper divisors (25776127936).

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

22021023104 is a wasteful number, since it uses less digits than its factorization.

22021023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15456 (or 15425 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22021023104 its reverse (40132012022), we get a palindrome (62153035126).

The spelling of 22021023104 in words is "twenty-two billion, twenty-one million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 304 361 496 589 608 722 992 1178 1216 1444 1984 2356 2432 2888 3968 4712 5776 9424 11191 11552 15373 18848 22382 23104 30746 37696 44764 46208 61492 75392 89528 122984 179056 245968 292087 358112 476563 491936 584174 716224 953126 983872 1168348 1432448 1906252 1967744 2336696 3812504 4673392 5549653 7625008 9054697 9346784 11099306 15250016 18109394 18693568 22198612 30500032 36218788 37387136 44397224 61000064 72437576 88794448 144875152 172039243 177588896 289750304 344078486 355177792 579500608 688156972 710355584 1159001216 1376313944 2752627888 5505255776 11010511552 22021023104