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122330214 = 23237832213
BaseRepresentation
bin1110100101010…
…01110001100110
322112012000111200
413102221301212
5222304031324
620045543330
73013534566
oct722516146
9275160450
10122330214
1163063556
1234b74b46
131c461756
1412364da6
15ab15ec9
hex74a9c66

122330214 has 48 divisors (see below), whose sum is σ = 275616432. Its totient is φ = 39178944.

The previous prime is 122330191. The next prime is 122330239. The reversal of 122330214 is 412033221.

122330214 is a `hidden beast` number, since 122 + 330 + 214 = 666.

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

It is a congruent number.

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, 54172 + ... + 56384.

It is an arithmetic number, because the mean of its divisors is an integer number (5742009).

Almost surely, 2122330214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137808216).

122330214 is an abundant number, since it is smaller than the sum of its proper divisors (153286218).

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

122330214 is a wasteful number, since it uses less digits than its factorization.

122330214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2338 counting only the distinct ones).

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

The square root of 122330214 is about 11060.2990013833. The cubic root of 122330214 is about 496.4146371318.

Adding to 122330214 its reverse (412033221), we get a palindrome (534363435).

The spelling of 122330214 in words is "one hundred twenty-two million, three hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 83 111 166 222 249 333 498 666 747 1494 2213 3071 4426 6142 6639 9213 13278 18426 19917 27639 39834 55278 81881 163762 183679 245643 367358 491286 551037 736929 1102074 1473858 1653111 3306222 6796123 13592246 20388369 40776738 61165107 122330214