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22113596340 = 22325119721187
BaseRepresentation
bin10100100110000100…
…101011001110110100
32010002010122002100200
4110212010223032310
5330242040040330
614054151040500
71411665316233
oct244604531664
963063562320
1022113596340
119418604260
124351970130
132115546264
1410dacb0b1a
158965bba60
hex52612b3b4

22113596340 has 216 divisors, whose sum is σ = 74000358432. Its totient is φ = 5301135360.

The previous prime is 22113596333. The next prime is 22113596363. The reversal of 22113596340 is 4369531122.

22113596340 is a `hidden beast` number, since 2 + 2 + 1 + 13 + 5 + 9 + 634 + 0 = 666.

It is a super-2 number, since 2×221135963402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22113596295 and 22113596304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18629227 + ... + 18630413.

It is an arithmetic number, because the mean of its divisors is an integer number (342594252).

Almost surely, 222113596340 is an apocalyptic number.

22113596340 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 22113596340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37000179216).

22113596340 is an abundant number, since it is smaller than the sum of its proper divisors (51886762092).

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

22113596340 is a wasteful number, since it uses less digits than its factorization.

22113596340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 22113596340 in words is "twenty-two billion, one hundred thirteen million, five hundred ninety-six thousand, three hundred forty".