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221444034 = 23724118371
BaseRepresentation
bin11010011001011…
…11011111000010
3120102200112002220
431030233133002
5423142202114
633550151510
75326146300
oct1514573702
9512615086
10221444034
11103aaa1a9
12621b2596
1336b54a96
14215a5270
15146930a9
hexd32f7c2

221444034 has 48 divisors (see below), whose sum is σ = 527790816. Its totient is φ = 61723200.

The previous prime is 221444033. The next prime is 221444039. The reversal of 221444034 is 430444122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221443995 and 221444013.

It is not an unprimeable number, because it can be changed into a prime (221444033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2869 + ... + 21239.

It is an arithmetic number, because the mean of its divisors is an integer number (10995642).

Almost surely, 2221444034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221444034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263895408).

221444034 is an abundant number, since it is smaller than the sum of its proper divisors (306346782).

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

221444034 is a wasteful number, since it uses less digits than its factorization.

221444034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18431 (or 18424 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 221444034 is about 14880.9957328130. The cubic root of 221444034 is about 604.9990064415. Note that the first 3 decimals are identical.

Adding to 221444034 its reverse (430444122), we get a palindrome (651888156).

The spelling of 221444034 in words is "two hundred twenty-one million, four hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 2009 4018 6027 12054 18371 36742 55113 110226 128597 257194 385791 753211 771582 900179 1506422 1800358 2259633 2700537 4519266 5272477 5401074 10544954 15817431 31634862 36907339 73814678 110722017 221444034