Search a number
-
+
22031016 = 2337711847
BaseRepresentation
bin101010000001…
…0101010101000
31112110021212120
41110002222220
521114443031
62104111240
7355155240
oct124025250
945407776
1022031016
1111488257
127465520
134744a07
142cd6b20
151e02a96
hex1502aa8

22031016 has 64 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 6202560.

The previous prime is 22031003. The next prime is 22031017. The reversal of 22031016 is 61013022.

It is a junction number, because it is equal to n+sod(n) for n = 22030986 and 22031004.

It is not an unprimeable number, because it can be changed into a prime (22031017) 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, 11005 + ... + 12851.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 222031016 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 22031016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

22031016 is an abundant number, since it is smaller than the sum of its proper divisors (41835864).

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

22031016 is a wasteful number, since it uses less digits than its factorization.

22031016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 22031016 is about 4693.7209120270. The cubic root of 22031016 is about 280.3355500994.

Adding to 22031016 its reverse (61013022), we get a palindrome (83044038).

The spelling of 22031016 in words is "twenty-two million, thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1847 1988 2982 3694 3976 5541 5964 7388 11082 11928 12929 14776 22164 25858 38787 44328 51716 77574 103432 131137 155148 262274 310296 393411 524548 786822 917959 1049096 1573644 1835918 2753877 3147288 3671836 5507754 7343672 11015508 22031016