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22433240 = 2352983233
BaseRepresentation
bin101010110010…
…0110111011000
31120012201121202
41111210313120
521220330430
62120453332
7361452014
oct125446730
946181552
1022433240
1111732475
12761a248
134855b0b
142d9d544
151e81d45
hex1564dd8

22433240 has 64 divisors (see below), whose sum is σ = 53071200. Its totient is φ = 8522752.

The previous prime is 22433239. The next prime is 22433249. The reversal of 22433240 is 4233422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22433249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96164 + ... + 96396.

Almost surely, 222433240 is an apocalyptic number.

22433240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535600).

22433240 is an abundant number, since it is smaller than the sum of its proper divisors (30637960).

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

22433240 is a wasteful number, since it uses less digits than its factorization.

22433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 22433240 is about 4736.3741406270. The cubic root of 22433240 is about 282.0313162077.

Adding to 22433240 its reverse (4233422), we get a palindrome (26666662).

The spelling of 22433240 in words is "twenty-two million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 83 116 145 166 232 233 290 332 415 466 580 664 830 932 1160 1165 1660 1864 2330 2407 3320 4660 4814 6757 9320 9628 12035 13514 19256 19339 24070 27028 33785 38678 48140 54056 67570 77356 96280 96695 135140 154712 193390 270280 386780 560831 773560 1121662 2243324 2804155 4486648 5608310 11216620 22433240