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22240002040 = 23553101103867
BaseRepresentation
bin10100101101100110…
…110111111111111000
32010101221111011101021
4110231212313333320
5331021420031130
614114504232224
71415061620044
oct245546677770
963357434337
1022240002040
1194829a0783
12438816b674
1321357a3a29
14110d9b7024
158a273a37a
hex52d9b7ff8

22240002040 has 64 divisors (see below), whose sum is σ = 51489444960. Its totient is φ = 8641651200.

The previous prime is 22240002019. The next prime is 22240002041. The reversal of 22240002040 is 4020004222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22240002041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162187 + ... + 266053.

Almost surely, 222240002040 is an apocalyptic number.

22240002040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22240002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25744722480).

22240002040 is an abundant number, since it is smaller than the sum of its proper divisors (29249442920).

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

22240002040 is a wasteful number, since it uses less digits than its factorization.

22240002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104032 (or 104028 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22240002040 its reverse (4020004222), we get a palindrome (26260006262).

The spelling of 22240002040 in words is "twenty-two billion, two hundred forty million, two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 101 106 202 212 265 404 424 505 530 808 1010 1060 2020 2120 4040 5353 10706 21412 26765 42824 53530 103867 107060 207734 214120 415468 519335 830936 1038670 2077340 4154680 5504951 10490567 11009902 20981134 22019804 27524755 41962268 44039608 52452835 55049510 83924536 104905670 110099020 209811340 220198040 419622680 556000051 1112000102 2224000204 2780000255 4448000408 5560000510 11120001020 22240002040