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122231220 = 22354794253
BaseRepresentation
bin1110100100100…
…01100110110100
322111222222201020
413102101212310
5222242344340
620043501140
73012643146
oct722214664
9274888636
10122231220
1162aa6141
1234b277b0
131c428687
141233ac96
15aae69d0
hex74919b4

122231220 has 48 divisors (see below), whose sum is σ = 343042560. Its totient is φ = 32519296.

The previous prime is 122231189. The next prime is 122231279. The reversal of 122231220 is 22132221.

It is a happy number.

It is a super-2 number, since 2×1222312202 = 29880942285376800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122231220.

It is a congruent number.

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, 26614 + ... + 30866.

It is an arithmetic number, because the mean of its divisors is an integer number (7146720).

Almost surely, 2122231220 is an apocalyptic number.

122231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122231220 is an abundant number, since it is smaller than the sum of its proper divisors (220811340).

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

122231220 is a wasteful number, since it uses less digits than its factorization.

122231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122231220 is about 11055.8229001735. The cubic root of 122231220 is about 496.2806954811.

Adding to 122231220 its reverse (22132221), we get a palindrome (144363441).

The spelling of 122231220 in words is "one hundred twenty-two million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 479 958 1437 1916 2395 2874 4253 4790 5748 7185 8506 9580 12759 14370 17012 21265 25518 28740 42530 51036 63795 85060 127590 255180 2037187 4074374 6111561 8148748 10185935 12223122 20371870 24446244 30557805 40743740 61115610 122231220