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22321404 = 22327101877
BaseRepresentation
bin101010100100…
…1100011111100
31120000001012200
41111021203330
521203241104
62114231500
7360504660
oct125114374
946001180
1022321404
1111666446
127585590
134816c41
142d708a0
151e5db39
hex15498fc

22321404 has 72 divisors (see below), whose sum is σ = 65196768. Its totient is φ = 6307200.

The previous prime is 22321399. The next prime is 22321421. The reversal of 22321404 is 40412322.

It is a super-3 number, since 3×223214043 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25014 + ... + 25890.

Almost surely, 222321404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22321404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32598384).

22321404 is an abundant number, since it is smaller than the sum of its proper divisors (42875364).

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

22321404 is a wasteful number, since it uses less digits than its factorization.

22321404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 990 counting only the distinct ones).

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

The square root of 22321404 is about 4724.5533122191. The cubic root of 22321404 is about 281.5618667964.

Adding to 22321404 its reverse (40412322), we get a palindrome (62733726).

The spelling of 22321404 in words is "twenty-two million, three hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 877 909 1212 1414 1754 1818 2121 2631 2828 3508 3636 4242 5262 6139 6363 7893 8484 10524 12278 12726 15786 18417 24556 25452 31572 36834 55251 73668 88577 110502 177154 221004 265731 354308 531462 620039 797193 1062924 1240078 1594386 1860117 2480156 3188772 3720234 5580351 7440468 11160702 22321404