Search a number
-
+
40222252 = 22731149311
BaseRepresentation
bin1001100101101…
…1111000101100
32210200111120001
42121123320230
540244103002
63554034044
7665612020
oct231337054
983614501
1040222252
1120782634
1211578924
138443a65
1454b0380
1537e7a87
hex265be2c

40222252 has 48 divisors (see below), whose sum is σ = 83865600. Its totient is φ = 16516800.

The previous prime is 40222249. The next prime is 40222253. The reversal of 40222252 is 25222204.

It is not an unprimeable number, because it can be changed into a prime (40222253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129177 + ... + 129487.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 240222252 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 40222252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41932800).

40222252 is an abundant number, since it is smaller than the sum of its proper divisors (43643348).

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

40222252 is a wasteful number, since it uses less digits than its factorization.

40222252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 40222252 is about 6342.1015444409. The cubic root of 40222252 is about 342.6274290961.

Adding to 40222252 its reverse (25222204), we get a palindrome (65444456).

The spelling of 40222252 in words is "forty million, two hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 62 124 149 217 298 311 434 596 622 868 1043 1244 2086 2177 4172 4354 4619 8708 9238 9641 18476 19282 32333 38564 46339 64666 67487 92678 129332 134974 185356 269948 324373 648746 1297492 1436509 2873018 5746036 10055563 20111126 40222252