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22320414 = 2331073863
BaseRepresentation
bin101010100100…
…1010100011110
31112222222212000
41111021110132
521203223124
62114223130
7360502044
oct125112436
945888760
1022320414
1111665726
127584aa6
13481665c
142d70394
151e5d6c9
hex154951e

22320414 has 32 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 7368696.

The previous prime is 22320391. The next prime is 22320433. The reversal of 22320414 is 41402322.

It is a super-3 number, since 3×223204143 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3847 + ... + 7709.

It is an arithmetic number, because the mean of its divisors is an integer number (1564920).

Almost surely, 222320414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

22320414 is an abundant number, since it is smaller than the sum of its proper divisors (27757026).

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

22320414 is a wasteful number, since it uses less digits than its factorization.

22320414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22320414 is about 4724.4485392477. The cubic root of 22320414 is about 281.5577041196.

Adding to 22320414 its reverse (41402322), we get a palindrome (63722736).

The spelling of 22320414 in words is "twenty-two million, three hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 3863 5778 7726 11589 23178 34767 69534 104301 208602 413341 826682 1240023 2480046 3720069 7440138 11160207 22320414