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22049076450 = 23522394311427
BaseRepresentation
bin10100100010001110…
…100011010011100010
32002220122020010201010
4110202032203103202
5330124030421300
614043524121350
71410253025502
oct244216432342
962818203633
1022049076450
119395146535
124334236256
132105075bcb
1410d24b7a02
15890ac4a50
hex5223a34e2

22049076450 has 96 divisors (see below), whose sum is σ = 55076474880. Its totient is φ = 5837473600.

The previous prime is 22049076443. The next prime is 22049076451. The reversal of 22049076450 is 5467094022.

It is a junction number, because it is equal to n+sod(n) for n = 22049076399 and 22049076408.

It is not an unprimeable number, because it can be changed into a prime (22049076451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15450637 + ... + 15452063.

It is an arithmetic number, because the mean of its divisors is an integer number (573713280).

Almost surely, 222049076450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22049076450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27538237440).

22049076450 is an abundant number, since it is smaller than the sum of its proper divisors (33027398430).

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

22049076450 is a wasteful number, since it uses less digits than its factorization.

22049076450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 22049076450 in words is "twenty-two billion, forty-nine million, seventy-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 239 431 478 717 862 1195 1293 1427 1434 2155 2390 2586 2854 3585 4281 4310 5975 6465 7135 7170 8562 10775 11950 12930 14270 17925 21405 21550 32325 35675 35850 42810 64650 71350 103009 107025 206018 214050 309027 341053 515045 615037 618054 682106 1023159 1030090 1230074 1545135 1705265 1845111 2046318 2575225 3075185 3090270 3410530 3690222 5115795 5150450 6150370 7725675 8526325 9225555 10231590 15375925 15451350 17052650 18451110 25578975 30751850 46127775 51157950 92255550 146993843 293987686 440981529 734969215 881963058 1469938430 2204907645 3674846075 4409815290 7349692150 11024538225 22049076450