[go: up one dir, main page]

Search a number
-
+
122211296 = 2537233443
BaseRepresentation
bin1110100100011…
…00101111100000
322111221222101022
413102030233200
5222241230141
620043225012
73012531104
oct722145740
9274858338
10122211296
1162a92179
1234b18168
131c41c59c
1412333904
15aae0b4b
hex748cbe0

122211296 has 48 divisors (see below), whose sum is σ = 248727024. Its totient is φ = 59065344.

The previous prime is 122211293. The next prime is 122211301. The reversal of 122211296 is 692112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211293) 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 7 ways as a sum of consecutive naturals, for example, 275651 + ... + 276093.

It is an arithmetic number, because the mean of its divisors is an integer number (5181813).

Almost surely, 2122211296 is an apocalyptic number.

122211296 is a gapful number since it is divisible by the number (16) 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 122211296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124363512).

122211296 is an abundant number, since it is smaller than the sum of its proper divisors (126515728).

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

122211296 is a wasteful number, since it uses less digits than its factorization.

122211296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 122211296 is about 11054.9217998139. The cubic root of 122211296 is about 496.2537290103.

The spelling of 122211296 in words is "one hundred twenty-two million, two hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 74 148 233 296 443 466 592 886 932 1184 1772 1864 3544 3728 7088 7456 8621 14176 16391 17242 32782 34484 65564 68968 103219 131128 137936 206438 262256 275872 412876 524512 825752 1651504 3303008 3819103 7638206 15276412 30552824 61105648 122211296