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22114540 = 22571371153
BaseRepresentation
bin101010001011…
…1000011101100
31112121112110001
41110113003230
521130131130
62105554044
7355653610
oct124270354
945545401
1022114540
1111534a88
1274a5924
134773a36
142d19340
151e1c6ca
hex15170ec

22114540 has 48 divisors (see below), whose sum is σ = 53508672. Its totient is φ = 7520256.

The previous prime is 22114531. The next prime is 22114541. The reversal of 22114540 is 4541122.

It is not an unprimeable number, because it can be changed into a prime (22114541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18604 + ... + 19756.

It is an arithmetic number, because the mean of its divisors is an integer number (1114764).

Almost surely, 222114540 is an apocalyptic number.

22114540 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 22114540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26754336).

22114540 is an abundant number, since it is smaller than the sum of its proper divisors (31394132).

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

22114540 is a wasteful number, since it uses less digits than its factorization.

22114540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 22114540 is about 4702.6099136543. The cubic root of 22114540 is about 280.6893727685.

Adding to 22114540 its reverse (4541122), we get a palindrome (26655662).

The spelling of 22114540 in words is "twenty-two million, one hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1153 1370 1918 2306 2740 3836 4612 4795 5765 8071 9590 11530 16142 19180 23060 32284 40355 80710 157961 161420 315922 631844 789805 1105727 1579610 2211454 3159220 4422908 5528635 11057270 22114540