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22114678740 = 223571121937619
BaseRepresentation
bin10100100110001000…
…110011011111010100
32010002012200002010120
4110212020303133110
5330242324204430
614054230151540
71412010445020
oct244610633724
963065602116
1022114678740
119419183500
1243521b25b0
132115834b2b
1410db0b3380
15896732610
hex5262337d4

22114678740 has 576 divisors, whose sum is σ = 84227942400. Its totient is φ = 4228899840.

The previous prime is 22114678697. The next prime is 22114678819. The reversal of 22114678740 is 4787641122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22114678692 and 22114678701.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 35726151 + ... + 35726769.

Almost surely, 222114678740 is an apocalyptic number.

22114678740 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 22114678740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42113971200).

22114678740 is an abundant number, since it is smaller than the sum of its proper divisors (62113263660).

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

22114678740 is a wasteful number, since it uses less digits than its factorization.

22114678740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 22114678740 in words is "twenty-two billion, one hundred fourteen million, six hundred seventy-eight thousand, seven hundred forty".