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22213072 = 247229977
BaseRepresentation
bin101010010111…
…1000111010000
31112210112121101
41110233013100
521141304242
62112034144
7356544100
oct124570720
945715541
1022213072
11115a2012
127532954
1347a983b
142d43200
151e3b9b7
hex152f1d0

22213072 has 60 divisors (see below), whose sum is σ = 51843780. Its totient is φ = 9182208.

The previous prime is 22213063. The next prime is 22213073. The reversal of 22213072 is 27031222.

It can be written as a sum of positive squares in 2 ways, for example, as 16941456 + 5271616 = 4116^2 + 2296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22248 + ... + 23224.

It is an arithmetic number, because the mean of its divisors is an integer number (864063).

Almost surely, 222213072 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 22213072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25921890).

22213072 is an abundant number, since it is smaller than the sum of its proper divisors (29630708).

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

22213072 is a wasteful number, since it uses less digits than its factorization.

22213072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 22213072 is about 4713.0745803562. The cubic root of 22213072 is about 281.1056284881.

Adding to 22213072 its reverse (27031222), we get a palindrome (49244294).

The spelling of 22213072 in words is "twenty-two million, two hundred thirteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 977 1421 1624 1954 2842 3248 3908 5684 6839 7816 11368 13678 15632 22736 27356 28333 47873 54712 56666 95746 109424 113332 191492 198331 226664 382984 396662 453328 765968 793324 1388317 1586648 2776634 3173296 5553268 11106536 22213072