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22253214540 = 223517791571759
BaseRepresentation
bin10100101110011001…
…010001101101001100
32010102212100102112010
4110232121101231030
5331033310331130
614120055341220
71415312126334
oct245631215514
963385312463
1022253214540
11948a3a54a7
124390681810
13213844b88b
1411116560c4
158a399a0b0
hex52e651b4c

22253214540 has 192 divisors, whose sum is σ = 67273113600. Its totient is φ = 5476184064.

The previous prime is 22253214527. The next prime is 22253214553. The reversal of 22253214540 is 4541235222.

It is an interprime number because it is at equal distance from previous prime (22253214527) and next prime (22253214553).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22253214498 and 22253214507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12650181 + ... + 12651939.

It is an arithmetic number, because the mean of its divisors is an integer number (350380800).

Almost surely, 222253214540 is an apocalyptic number.

22253214540 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 22253214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33636556800).

22253214540 is an abundant number, since it is smaller than the sum of its proper divisors (45019899060).

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

22253214540 is a wasteful number, since it uses less digits than its factorization.

22253214540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 22253214540 its reverse (4541235222), we get a palindrome (26794449762).

The spelling of 22253214540 in words is "twenty-two billion, two hundred fifty-three million, two hundred fourteen thousand, five hundred forty".