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22430144 = 2611151211
BaseRepresentation
bin101010110010…
…0000111000000
31120012120101002
41111210013000
521220231034
62120431132
7361440002
oct125440700
946176332
1022430144
1111730110
1276184a8
134854599
142d9c372
151e80e7e
hex15641c0

22430144 has 56 divisors (see below), whose sum is σ = 49109376. Its totient is φ = 10080000.

The previous prime is 22430101. The next prime is 22430153. The reversal of 22430144 is 44103422.

It is a super-2 number, since 2×224301442 = 1006222719721472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106199 + ... + 106409.

Almost surely, 222430144 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 22430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554688).

22430144 is an abundant number, since it is smaller than the sum of its proper divisors (26679232).

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

22430144 is a wasteful number, since it uses less digits than its factorization.

22430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 22430144 is about 4736.0472970611. The cubic root of 22430144 is about 282.0183412781.

Adding to 22430144 its reverse (44103422), we get a palindrome (66533566).

The spelling of 22430144 in words is "twenty-two million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 151 176 211 302 352 422 604 704 844 1208 1661 1688 2321 2416 3322 3376 4642 4832 6644 6752 9284 9664 13288 13504 18568 26576 31861 37136 53152 63722 74272 106304 127444 148544 254888 350471 509776 700942 1019552 1401884 2039104 2803768 5607536 11215072 22430144