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22648635220 = 225173534349
BaseRepresentation
bin10101000101111101…
…101011111101010100
32011110102101212201111
4111011331223331110
5332341022311340
614223222504404
71431153136321
oct250575537524
964412355644
1022648635220
119672622952
124480b95104
13219c348a03
14114bd87b48
158c8556aea
hex545f6bf54

22648635220 has 96 divisors (see below), whose sum is σ = 51499476000. Its totient is φ = 8363743232.

The previous prime is 22648635199. The next prime is 22648635281. The reversal of 22648635220 is 2253684622.

It can be written as a sum of positive squares in 16 ways, for example, as 7568304016 + 15080331204 = 86996^2 + 122802^2 .

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, 5205606 + ... + 5209954.

It is an arithmetic number, because the mean of its divisors is an integer number (536452875).

Almost surely, 222648635220 is an apocalyptic number.

22648635220 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 22648635220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25749738000).

22648635220 is an abundant number, since it is smaller than the sum of its proper divisors (28850840780).

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

22648635220 is a wasteful number, since it uses less digits than its factorization.

22648635220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 22648635220 in words is "twenty-two billion, six hundred forty-eight million, six hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 289 340 530 578 901 1060 1156 1445 1802 2890 3604 4349 4505 4913 5780 8698 9010 9826 15317 17396 18020 19652 21745 24565 30634 43490 49130 61268 73933 76585 86980 98260 147866 153170 230497 260389 295732 306340 369665 460994 520778 739330 921988 1041556 1152485 1256861 1301945 1478660 2304970 2513722 2603890 3918449 4609940 5027444 5207780 6284305 7836898 12568610 15673796 19592245 21366637 25137220 39184490 42733274 66613633 78368980 85466548 106833185 133227266 213666370 266454532 333068165 427332740 666136330 1132431761 1332272660 2264863522 4529727044 5662158805 11324317610 22648635220