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22412093340 = 22357313194409
BaseRepresentation
bin10100110111110111…
…010110011110011100
32010211221022022021010
4110313313112132130
5331344443441330
614143532535220
71422251436000
oct246767263634
963757268233
1022412093340
11956105149a
124415921510
132162338bc0
1411287b2700
158b28d03b0
hex537dd679c

22412093340 has 384 divisors, whose sum is σ = 82978560000. Its totient is φ = 4478810112.

The previous prime is 22412093329. The next prime is 22412093371. The reversal of 22412093340 is 4339021422.

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 = 22412093298 and 22412093307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5081056 + ... + 5085464.

It is an arithmetic number, because the mean of its divisors is an integer number (216090000).

Almost surely, 222412093340 is an apocalyptic number.

22412093340 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 22412093340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41489280000).

22412093340 is an abundant number, since it is smaller than the sum of its proper divisors (60566466660).

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

22412093340 is a wasteful number, since it uses less digits than its factorization.

22412093340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 22412093340 in words is "twenty-two billion, four hundred twelve million, ninety-three thousand, three hundred forty".