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22966009248 = 25371331137619
BaseRepresentation
bin10101011000111000…
…010111110110100000
32012021112121011001010
4111120320113312200
5334013244243443
614314521140520
71442055600120
oct253070276640
965245534033
1022966009248
119815793736
12454b32a740
13222001a8b0
14117c1a0c80
158e6348733
hex558e17da0

22966009248 has 384 divisors, whose sum is σ = 77275054080. Its totient is φ = 5809397760.

The previous prime is 22966009229. The next prime is 22966009267. The reversal of 22966009248 is 84290066922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22966009229) and next prime (22966009267).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 22966009197 and 22966009206.

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, 37101483 + ... + 37102101.

It is an arithmetic number, because the mean of its divisors is an integer number (201237120).

Almost surely, 222966009248 is an apocalyptic number.

22966009248 is a gapful number since it is divisible by the number (28) 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 22966009248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38637527040).

22966009248 is an abundant number, since it is smaller than the sum of its proper divisors (54309044832).

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

22966009248 is a wasteful number, since it uses less digits than its factorization.

22966009248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 22966009248 in words is "twenty-two billion, nine hundred sixty-six million, nine thousand, two hundred forty-eight".