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22142250 = 2325313757
BaseRepresentation
bin101010001110…
…1110100101010
31112122221110100
41110131310222
521132023000
62110330230
7356130444
oct124356452
945587410
1022142250
1111553889
1274b9976
134783530
142d25494
151e25a00
hex151dd2a

22142250 has 96 divisors (see below), whose sum is σ = 64563408. Its totient is φ = 5443200.

The previous prime is 22142231. The next prime is 22142257. The reversal of 22142250 is 5224122.

It can be written as a sum of positive squares in 8 ways, for example, as 42849 + 22099401 = 207^2 + 4701^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142257) 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 47 ways as a sum of consecutive naturals, for example, 28872 + ... + 29628.

Almost surely, 222142250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32281704).

22142250 is an abundant number, since it is smaller than the sum of its proper divisors (42421158).

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

22142250 is a wasteful number, since it uses less digits than its factorization.

22142250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 780 counting only the distinct ones).

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

The square root of 22142250 is about 4705.5552276007. Note that the first 3 decimals coincide. The cubic root of 22142250 is about 280.8065604672.

Adding to 22142250 its reverse (5224122), we get a palindrome (27366372).

The spelling of 22142250 in words is "twenty-two million, one hundred forty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 375 390 450 585 650 750 757 975 1125 1170 1514 1625 1950 2250 2271 2925 3250 3785 4542 4875 5850 6813 7570 9750 9841 11355 13626 14625 18925 19682 22710 29250 29523 34065 37850 49205 56775 59046 68130 88569 94625 98410 113550 147615 170325 177138 189250 246025 283875 295230 340650 442845 492050 567750 738075 851625 885690 1230125 1476150 1703250 2214225 2460250 3690375 4428450 7380750 11071125 22142250