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22314012 = 22372137277
BaseRepresentation
bin101010100011…
…1110000011100
31112222200001220
41111013300130
521203022022
62114133340
7360444300
oct125076034
945880056
1022314012
1111660936
127581250
134813776
142d6bd00
151e5b85c
hex1547c1c

22314012 has 72 divisors (see below), whose sum is σ = 61228944. Its totient is φ = 6306048.

The previous prime is 22314011. The next prime is 22314043. The reversal of 22314012 is 21041322.

It is a super-3 number, since 3×223140123 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22313982 and 22314000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22314011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80418 + ... + 80694.

It is an arithmetic number, because the mean of its divisors is an integer number (850402).

Almost surely, 222314012 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 22314012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30614472).

22314012 is an abundant number, since it is smaller than the sum of its proper divisors (38914932).

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

22314012 is a wasteful number, since it uses less digits than its factorization.

22314012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22314012 is about 4723.7709512634. The cubic root of 22314012 is about 281.5307825045.

Adding to 22314012 its reverse (21041322), we get a palindrome (43355334).

The spelling of 22314012 in words is "twenty-two million, three hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 137 147 196 274 277 294 411 548 554 588 822 831 959 1108 1644 1662 1918 1939 2877 3324 3836 3878 5754 5817 6713 7756 11508 11634 13426 13573 20139 23268 26852 27146 37949 40278 40719 54292 75898 80556 81438 113847 151796 162876 227694 265643 455388 531286 796929 1062572 1593858 1859501 3187716 3719002 5578503 7438004 11157006 22314012