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214033122 = 23266117989
BaseRepresentation
bin11001100000111…
…10001011100010
3112220202000020200
430300132023202
5414243024442
633123250030
75206152162
oct1460361342
9486660220
10214033122
11aa8a8286
125b819916
133545b824
14205d65a2
1513bcc34c
hexcc1e2e2

214033122 has 24 divisors (see below), whose sum is σ = 464465820. Its totient is φ = 71232480.

The previous prime is 214033117. The next prime is 214033129. The reversal of 214033122 is 221330412.

It can be written as a sum of positive squares in 2 ways, for example, as 195188841 + 18844281 = 13971^2 + 4341^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 214033095 and 214033104.

It is not an unprimeable number, because it can be changed into a prime (214033129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2904 + ... + 20892.

Almost surely, 2214033122 is an apocalyptic number.

214033122 is an abundant number, since it is smaller than the sum of its proper divisors (250432698).

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

214033122 is a wasteful number, since it uses less digits than its factorization.

214033122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18658 (or 18655 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214033122 is about 14629.8708811801. The cubic root of 214033122 is about 598.1732606834.

Adding to 214033122 its reverse (221330412), we get a palindrome (435363534).

The spelling of 214033122 in words is "two hundred fourteen million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 661 1322 1983 3966 5949 11898 17989 35978 53967 107934 161901 323802 11890729 23781458 35672187 71344374 107016561 214033122