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221131134 = 23471091789
BaseRepresentation
bin11010010111000…
…11000101111110
3120102002121220000
431023203011332
5423102144014
633535335130
75323404120
oct1513430576
9512077800
10221131134
11103906104
12620814a6
1336a75533
1421523210
1514630509
hexd2e317e

221131134 has 80 divisors (see below), whose sum is σ = 571797600. Its totient is φ = 62565696.

The previous prime is 221131111. The next prime is 221131147. The reversal of 221131134 is 431131122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122712 + ... + 124500.

It is an arithmetic number, because the mean of its divisors is an integer number (7147470).

Almost surely, 2221131134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221131134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285898800).

221131134 is an abundant number, since it is smaller than the sum of its proper divisors (350666466).

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

221131134 is a wasteful number, since it uses less digits than its factorization.

221131134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1910 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 221131134 is about 14870.4786069581. The cubic root of 221131134 is about 604.7139179733.

Adding to 221131134 its reverse (431131122), we get a palindrome (652262256).

The spelling of 221131134 in words is "two hundred twenty-one million, one hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 109 126 162 189 218 327 378 567 654 763 981 1134 1526 1789 1962 2289 2943 3578 4578 5367 5886 6867 8829 10734 12523 13734 16101 17658 20601 25046 32202 37569 41202 48303 61803 75138 96606 112707 123606 144909 195001 225414 289818 338121 390002 585003 676242 1014363 1170006 1365007 1755009 2028726 2730014 3510018 4095021 5265027 8190042 10530054 12285063 15795081 24570126 31590162 36855189 73710378 110565567 221131134