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22144416 = 2537311063
BaseRepresentation
bin101010001111…
…0010110100000
31112200001102120
41110132112200
521132110131
62110344240
7356136660
oct124362640
945601376
1022144416
1111555478
1274bb080
134784508
142d261a0
151e26496
hex151e5a0

22144416 has 96 divisors (see below), whose sum is σ = 68640768. Its totient is φ = 6117120.

The previous prime is 22144393. The next prime is 22144427. The reversal of 22144416 is 61444122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20301 + ... + 21363.

It is an arithmetic number, because the mean of its divisors is an integer number (715008).

Almost surely, 222144416 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 22144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34320384).

22144416 is an abundant number, since it is smaller than the sum of its proper divisors (46496352).

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

22144416 is a wasteful number, since it uses less digits than its factorization.

22144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1106 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 22144416 is about 4705.7853754713. The cubic root of 22144416 is about 280.8157165252.

Adding to 22144416 its reverse (61444122), we get a palindrome (83588538).

The spelling of 22144416 in words is "twenty-two million, one hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1063 1302 1488 1736 2126 2604 2976 3189 3472 4252 5208 6378 6944 7441 8504 10416 12756 14882 17008 20832 22323 25512 29764 32953 34016 44646 51024 59528 65906 89292 98859 102048 119056 131812 178584 197718 230671 238112 263624 357168 395436 461342 527248 692013 714336 790872 922684 1054496 1384026 1581744 1845368 2768052 3163488 3690736 5536104 7381472 11072208 22144416