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22144332 = 2237477179
BaseRepresentation
bin101010001111…
…0010101001100
31112200001022110
41110132111030
521132104312
62110344020
7356136510
oct124362514
945601273
1022144332
1111555401
1274bb010
134784472
142d26140
151e2643c
hex151e54c

22144332 has 96 divisors (see below), whose sum is σ = 61931520. Its totient is φ = 6027840.

The previous prime is 22144327. The next prime is 22144333. The reversal of 22144332 is 23344122.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 22144299 and 22144308.

It is not an unprimeable number, because it can be changed into a prime (22144333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280269 + ... + 280347.

It is an arithmetic number, because the mean of its divisors is an integer number (645120).

Almost surely, 222144332 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 22144332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965760).

22144332 is an abundant number, since it is smaller than the sum of its proper divisors (39787188).

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

22144332 is a wasteful number, since it uses less digits than its factorization.

22144332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 22144332 is about 4705.7764502790. The cubic root of 22144332 is about 280.8153614538.

Adding to 22144332 its reverse (23344122), we get a palindrome (45488454).

The spelling of 22144332 in words is "twenty-two million, one hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 71 79 84 94 141 142 158 188 213 237 282 284 316 329 426 474 497 553 564 658 852 948 987 994 1106 1316 1491 1659 1974 1988 2212 2982 3318 3337 3713 3948 5609 5964 6636 6674 7426 10011 11139 11218 13348 14852 16827 20022 22278 22436 23359 25991 33654 39263 40044 44556 46718 51982 67308 70077 77973 78526 93436 103964 117789 140154 155946 157052 235578 263623 280308 311892 471156 527246 790869 1054492 1581738 1845361 3163476 3690722 5536083 7381444 11072166 22144332