Search a number
-
+
2225243610 = 233513676029
BaseRepresentation
bin1000010010100010…
…1000010111011010
312202002012002101000
42010220220113122
514024130243420
61004450405430
7106100154462
oct20450502732
95662162330
102225243610
11a42101507
12521290876
1329602c6c5
1417176cba2
15d0556690
hex84a285da

2225243610 has 64 divisors (see below), whose sum is σ = 5939308800. Its totient is φ = 592865856.

The previous prime is 2225243567. The next prime is 2225243651. The reversal of 2225243610 is 163425222.

It is a happy number.

2225243610 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 2 + 43 + 610 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 366076 + ... + 372104.

It is an arithmetic number, because the mean of its divisors is an integer number (92801700).

Almost surely, 22225243610 is an apocalyptic number.

2225243610 is an abundant number, since it is smaller than the sum of its proper divisors (3714065190).

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

2225243610 is a wasteful number, since it uses less digits than its factorization.

2225243610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2225243610 is about 47172.4878504410. The cubic root of 2225243610 is about 1305.5470292192.

Adding to 2225243610 its reverse (163425222), we get a palindrome (2388668832).

The spelling of 2225243610 in words is "two billion, two hundred twenty-five million, two hundred forty-three thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1367 2734 4101 6029 6835 8202 12058 12303 13670 18087 20505 24606 30145 36174 36909 41010 54261 60290 61515 73818 90435 108522 123030 162783 180870 184545 271305 325566 369090 542610 813915 1627830 8241643 16483286 24724929 41208215 49449858 74174787 82416430 123624645 148349574 222524361 247249290 370873935 445048722 741747870 1112621805 2225243610