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22120152309 = 32671012631381
BaseRepresentation
bin10100100110011101…
…101011110011110101
32010002120222011110100
4110212131223303311
5330300224333214
614054543344313
71412105122653
oct244635536365
963076864410
1022120152309
119421281912
124353bb2099
132116a00328
1410dbad9dd3
15896e64309
hex52676bcf5

22120152309 has 48 divisors (see below), whose sum is σ = 32897614464. Its totient is φ = 14317776000.

The previous prime is 22120152287. The next prime is 22120152359. The reversal of 22120152309 is 90325102122.

It is a happy number.

22120152309 is a `hidden beast` number, since 221 + 201 + 5 + 230 + 9 = 666.

It is not a de Polignac number, because 22120152309 - 28 = 22120152053 is a prime.

It is a super-2 number, since 2×221201523092 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120152359) 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, 16016799 + ... + 16018179.

It is an arithmetic number, because the mean of its divisors is an integer number (685366968).

Almost surely, 222120152309 is an apocalyptic number.

It is an amenable number.

22120152309 is a deficient number, since it is larger than the sum of its proper divisors (10777462155).

22120152309 is a wasteful number, since it uses less digits than its factorization.

22120152309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 22120152309 in words is "twenty-two billion, one hundred twenty million, one hundred fifty-two thousand, three hundred nine".

Divisors: 1 3 9 67 101 201 263 303 603 789 909 1381 2367 4143 6767 12429 17621 20301 26563 52863 60903 79689 92527 139481 158589 239067 277581 363203 418443 832743 1089609 1255329 1779721 3268827 5339163 9345227 16017489 24334601 28035681 36683503 73003803 84107043 110050509 219011409 330151527 2457794701 7373384103 22120152309