Search a number
-
+
20225162496 = 2837111272693
BaseRepresentation
bin10010110101100000…
…110111110100000000
31221012112012201010110
4102311200313310000
5312410120144441
613142531231320
71314125021220
oct226540676400
957175181113
1020225162496
118639638a30
123b05448540
131ba4232096
14d9c178080
157d58e5b16
hex4b5837d00

20225162496 has 288 divisors, whose sum is σ = 67664314368. Its totient is φ = 5209989120.

The previous prime is 20225162483. The next prime is 20225162509. The reversal of 20225162496 is 69426152202.

It is an interprime number because it is at equal distance from previous prime (20225162483) and next prime (20225162509).

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, 7508926 + ... + 7511618.

It is an arithmetic number, because the mean of its divisors is an integer number (234945536).

Almost surely, 220225162496 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 20225162496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33832157184).

20225162496 is an abundant number, since it is smaller than the sum of its proper divisors (47439151872).

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

20225162496 is a wasteful number, since it uses less digits than its factorization.

20225162496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 20225162496 in words is "twenty billion, two hundred twenty-five million, one hundred sixty-two thousand, four hundred ninety-six".