Search a number
-
+
22397995936512 = 283572173173191
BaseRepresentation
bin1010001011110111100001…
…00101110110101100000000
32221022020010211212202100000
411011323300211312230000
510413432043424432022
6115345255225200000
74501126135123200
oct505736045665400
987266124782300
1022397995936512
117155a338786a9
122618a6b630000
13c66177c18651
145760d6a78400
1528c9538456ac
hex145ef0976b00

22397995936512 has 2592 divisors, whose sum is σ = 86766598324224. Its totient is φ = 5718756556800.

The previous prime is 22397995936483. The next prime is 22397995936513. The reversal of 22397995936512 is 21563959979322.

It is a happy number.

22397995936512 is a `hidden beast` number, since 2 + 2 + 3 + 9 + 79 + 9 + 5 + 9 + 36 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×223979959365122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (496011600) is a multiple of the sum of its prime divisors (324).

It is not an unprimeable number, because it can be changed into a prime (22397995936513) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 117266994337 + ... + 117266994527.

It is an arithmetic number, because the mean of its divisors is an integer number (33474767872).

Almost surely, 222397995936512 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 22397995936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43383299162112).

22397995936512 is an abundant number, since it is smaller than the sum of its proper divisors (64368602387712).

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

22397995936512 is a wasteful number, since it uses less digits than its factorization.

22397995936512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 324 counting only the distinct ones).

The product of its digits is 496011600, while the sum is 72.

The spelling of 22397995936512 in words is "twenty-two trillion, three hundred ninety-seven billion, nine hundred ninety-five million, nine hundred thirty-six thousand, five hundred twelve".