Search a number
-
+
22156664304352 = 2523314312253137
BaseRepresentation
bin1010000100110110000000…
…00110101111001011100000
32220110011020000211121102111
411002123000012233023200
510401003322030214402
6115042344150525104
74444523540110654
oct502330006571340
986404200747374
1022156664304352
117072652416516
12259a13a066794
13c494979b50c6
145685615d2a64
1528652ba4b9d7
hex1426c01af2e0

22156664304352 has 96 divisors (see below), whose sum is σ = 47094838124544. Its totient is φ = 10231039948800.

The previous prime is 22156664304323. The next prime is 22156664304377. The reversal of 22156664304352 is 25340346665122.

It is a super-2 number, since 2×221566643043522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22156664304296 and 22156664304305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8707128 + ... + 10960264.

It is an arithmetic number, because the mean of its divisors is an integer number (490571230464).

Almost surely, 222156664304352 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 22156664304352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23547419062272).

22156664304352 is an abundant number, since it is smaller than the sum of its proper divisors (24938173820192).

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

22156664304352 is a wasteful number, since it uses less digits than its factorization.

22156664304352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253632 (or 2253624 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 22156664304352 in words is "twenty-two trillion, one hundred fifty-six billion, six hundred sixty-four million, three hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 431 496 713 736 862 992 1426 1724 2852 3448 5704 6896 9913 11408 13361 13792 19826 22816 26722 39652 53444 79304 106888 158608 213776 307303 317216 427552 614606 1229212 2253137 2458424 4506274 4916848 9012548 9833696 18025096 36050192 51822151 69847247 72100384 103644302 139694494 207288604 279388988 414577208 558777976 829154416 971102047 1117555952 1606486681 1658308832 1942204094 2235111904 3212973362 3884408188 6425946724 7768816376 12851893448 15537632752 22335347081 25703786896 30104163457 31075265504 44670694162 51407573792 60208326914 89341388324 120416653828 178682776648 240833307656 357365553296 481666615312 692395759511 714731106592 963333230624 1384791519022 2769583038044 5539166076088 11078332152176 22156664304352