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122230314 = 23237223823
BaseRepresentation
bin1110100100100…
…01011000101010
322111222221110200
413102101120222
5222242332224
620043453030
73012640413
oct722213052
9274887420
10122230314
1162aa5498
1234b27176
131c42813b
141233a80a
15aae65c9
hex749162a

122230314 has 48 divisors (see below), whose sum is σ = 273541632. Its totient is φ = 39416544.

The previous prime is 122230279. The next prime is 122230321. The reversal of 122230314 is 413032221.

122230314 is a `hidden beast` number, since 122 + 230 + 314 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148107 + ... + 148929.

It is an arithmetic number, because the mean of its divisors is an integer number (5698784).

Almost surely, 2122230314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122230314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136770816).

122230314 is an abundant number, since it is smaller than the sum of its proper divisors (151311318).

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

122230314 is a wasteful number, since it uses less digits than its factorization.

122230314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1088 counting only the distinct ones).

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

The square root of 122230314 is about 11055.7819262140. The cubic root of 122230314 is about 496.2794693039.

Adding to 122230314 its reverse (413032221), we get a palindrome (535262535).

The spelling of 122230314 in words is "one hundred twenty-two million, two hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 223 333 446 666 669 823 1338 1646 2007 2469 4014 4938 7407 8251 14814 16502 24753 30451 49506 60902 74259 91353 148518 182706 183529 274059 367058 548118 550587 1101174 1651761 3303522 6790573 13581146 20371719 40743438 61115157 122230314