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122230304 = 2572137569
BaseRepresentation
bin1110100100100…
…01011000100000
322111222221110022
413102101120200
5222242332204
620043453012
73012640400
oct722213040
9274887408
10122230304
1162aa5489
1234b27168
131c428131
141233a800
15aae65be
hex7491620

122230304 has 72 divisors (see below), whose sum is σ = 282468060. Its totient is φ = 51910656.

The previous prime is 122230279. The next prime is 122230321. The reversal of 122230304 is 403032221.

It can be written as a sum of positive squares in 2 ways, for example, as 119858704 + 2371600 = 10948^2 + 1540^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214532 + ... + 215100.

Almost surely, 2122230304 is an apocalyptic number.

122230304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141234030).

122230304 is an abundant number, since it is smaller than the sum of its proper divisors (160237756).

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

122230304 is a wasteful number, since it uses less digits than its factorization.

122230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 122230304 is about 11055.7814739619. The cubic root of 122230304 is about 496.2794557699.

Adding to 122230304 its reverse (403032221), we get a palindrome (525262525).

The spelling of 122230304 in words is "one hundred twenty-two million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 137 196 224 274 392 548 569 784 959 1096 1138 1568 1918 2192 2276 3836 3983 4384 4552 6713 7672 7966 9104 13426 15344 15932 18208 26852 27881 30688 31864 53704 55762 63728 77953 107408 111524 127456 155906 214816 223048 311812 446096 545671 623624 892192 1091342 1247248 2182684 2494496 3819697 4365368 7639394 8730736 15278788 17461472 30557576 61115152 122230304