Search a number
-
+
122213316 = 22379137941
BaseRepresentation
bin1110100100011…
…01001111000100
322111222002011010
413102031033010
5222241311231
620043242220
73012540021
oct722151704
9274862133
10122213316
1162a93745
1234b19370
131c420494
1412334548
15aae1546
hex748d3c4

122213316 has 48 divisors (see below), whose sum is σ = 291191040. Its totient is φ = 39886080.

The previous prime is 122213309. The next prime is 122213321. The reversal of 122213316 is 613312221.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122213292 and 122213301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 129406 + ... + 130346.

It is an arithmetic number, because the mean of its divisors is an integer number (6066480).

Almost surely, 2122213316 is an apocalyptic number.

It is an amenable number.

122213316 is an abundant number, since it is smaller than the sum of its proper divisors (168977724).

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

122213316 is a wasteful number, since it uses less digits than its factorization.

122213316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1162 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 122213316 is about 11055.0131614576. The cubic root of 122213316 is about 496.2564631466.

Adding to 122213316 its reverse (613312221), we get a palindrome (735525537).

The spelling of 122213316 in words is "one hundred twenty-two million, two hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 79 137 158 237 274 316 411 474 548 822 941 948 1644 1882 2823 3764 5646 10823 11292 21646 32469 43292 64938 74339 128917 129876 148678 223017 257834 297356 386751 446034 515668 773502 892068 1547004 10184443 20368886 30553329 40737772 61106658 122213316