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221122132 = 227113123159
BaseRepresentation
bin11010010111000…
…00111001010100
3120102002011112121
431023200321110
5423101402012
633535225324
75323335640
oct1513407124
9512064477
10221122132
111038aa370
1262078244
1336a713ca
142151dc20
151462ca07
hexd2e0e54

221122132 has 48 divisors (see below), whose sum is σ = 498032640. Its totient is φ = 83368800.

The previous prime is 221122127. The next prime is 221122141. The reversal of 221122132 is 231221122.

It is a happy number.

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, 2032 + ... + 21127.

It is an arithmetic number, because the mean of its divisors is an integer number (10375680).

Almost surely, 2221122132 is an apocalyptic number.

221122132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221122132 is an abundant number, since it is smaller than the sum of its proper divisors (276910508).

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

221122132 is a wasteful number, since it uses less digits than its factorization.

221122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23212 (or 23210 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 221122132 is about 14870.1759236399. The cubic root of 221122132 is about 604.7057121205.

Adding to 221122132 its reverse (231221122), we get a palindrome (452343254).

The spelling of 221122132 in words is "two hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1364 2387 4774 9548 23159 46318 92636 162113 254749 324226 509498 648452 717929 1018996 1435858 1783243 2871716 3566486 5025503 7132972 7897219 10051006 15794438 20102012 31588876 55280533 110561066 221122132