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4222116 = 2232117281
BaseRepresentation
bin10000000110110010100100
321221111122200
4100012302210
52040101431
6230254500
750613243
oct20066244
97844580
104222116
112424158
1214b7430
13b4a9c2
147bc95a
15585ee6
hex406ca4

4222116 has 18 divisors (see below), whose sum is σ = 10672662. Its totient is φ = 1407360.

The previous prime is 4222093. The next prime is 4222117. The reversal of 4222116 is 6112224.

It can be written as a sum of positive squares in only one way, i.e., 4161600 + 60516 = 2040^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4222117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58605 + ... + 58676.

Almost surely, 24222116 is an apocalyptic number.

It is an amenable number.

4222116 is an abundant number, since it is smaller than the sum of its proper divisors (6450546).

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

4222116 is a wasteful number, since it uses less digits than its factorization.

4222116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117291 (or 117286 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 4222116 is about 2054.7788202140. The cubic root of 4222116 is about 161.6255641190.

The spelling of 4222116 in words is "four million, two hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 117281 234562 351843 469124 703686 1055529 1407372 2111058 4222116