Search a number
-
+
22463132010 = 23511509133733
BaseRepresentation
bin10100111010111010…
…000011000101101010
32010222111100100011020
4110322322003011222
5332001030211020
614152554513310
71423441320534
oct247272030552
963874310136
1022463132010
119587941610
12442aa35836
13216ca98cb7
14113149a854
158b7112c40
hex53ae8316a

22463132010 has 64 divisors (see below), whose sum is σ = 58928549760. Its totient is φ = 5434868480.

The previous prime is 22463131993. The next prime is 22463132039. The reversal of 22463132010 is 1023136422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101104 + ... + 234836.

It is an arithmetic number, because the mean of its divisors is an integer number (920758590).

Almost surely, 222463132010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22463132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29464274880).

22463132010 is an abundant number, since it is smaller than the sum of its proper divisors (36465417750).

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

22463132010 is a wasteful number, since it uses less digits than its factorization.

22463132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134263.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22463132010 its reverse (1023136422), we get a palindrome (23486268432).

The spelling of 22463132010 in words is "twenty-two billion, four hundred sixty-three million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 509 1018 1527 2545 3054 5090 5599 7635 11198 15270 16797 27995 33594 55990 83985 133733 167970 267466 401199 668665 802398 1337330 1471063 2005995 2942126 4011990 4413189 7355315 8826378 14710630 22065945 44131890 68070097 136140194 204210291 340350485 408420582 680700970 748771067 1021051455 1497542134 2042102910 2246313201 3743855335 4492626402 7487710670 11231566005 22463132010