Search a number
-
+
22125204 = 2233349587
BaseRepresentation
bin101010001100…
…1101010010100
31112122002002000
41110121222110
521131001304
62110115300
7356026653
oct124315224
945562060
1022125204
1111541aa2
1274abb30
13477884a
142d1d19a
151e20939
hex1519a94

22125204 has 48 divisors (see below), whose sum is σ = 57624000. Its totient is φ = 7341408.

The previous prime is 22125197. The next prime is 22125217. The reversal of 22125204 is 40252122.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 37399 + ... + 37985.

It is an arithmetic number, because the mean of its divisors is an integer number (1200500).

Almost surely, 222125204 is an apocalyptic number.

It is an amenable number.

22125204 is an abundant number, since it is smaller than the sum of its proper divisors (35498796).

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

22125204 is a wasteful number, since it uses less digits than its factorization.

22125204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22125204 is about 4703.7436154621. The cubic root of 22125204 is about 280.7344832171.

Adding to 22125204 its reverse (40252122), we get a palindrome (62377326).

It can be divided in two parts, 221 and 25204, that added together give a triangular number (25425 = T225).

The spelling of 22125204 in words is "twenty-two million, one hundred twenty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 349 587 698 1047 1174 1396 1761 2094 2348 3141 3522 4188 5283 6282 7044 9423 10566 12564 15849 18846 21132 31698 37692 63396 204863 409726 614589 819452 1229178 1843767 2458356 3687534 5531301 7375068 11062602 22125204