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122204260 = 225291091933
BaseRepresentation
bin1110100100010…
…11000001100100
322111221121201201
413102023001210
5222241014020
620043132244
73012501433
oct722130144
9274847651
10122204260
1162a87962
1234b14084
131c419319
141233111a
15aadda0a
hex748b064

122204260 has 48 divisors (see below), whose sum is σ = 268052400. Its totient is φ = 46738944.

The previous prime is 122204239. The next prime is 122204293. The reversal of 122204260 is 62402221.

It can be written as a sum of positive squares in 8 ways, for example, as 2214144 + 119990116 = 1488^2 + 10954^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62254 + ... + 64186.

It is an arithmetic number, because the mean of its divisors is an integer number (5584425).

Almost surely, 2122204260 is an apocalyptic number.

122204260 is a gapful number since it is divisible by the number (10) 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 122204260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134026200).

122204260 is an abundant number, since it is smaller than the sum of its proper divisors (145848140).

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

122204260 is a wasteful number, since it uses less digits than its factorization.

122204260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 122204260 is about 11054.6035659358. The cubic root of 122204260 is about 496.2442053182.

Adding to 122204260 its reverse (62402221), we get a palindrome (184606481).

The spelling of 122204260 in words is "one hundred twenty-two million, two hundred four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 109 116 145 218 290 436 545 580 1090 1933 2180 3161 3866 6322 7732 9665 12644 15805 19330 31610 38660 56057 63220 112114 210697 224228 280285 421394 560570 842788 1053485 1121140 2106970 4213940 6110213 12220426 24440852 30551065 61102130 122204260