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2232442420 = 225138586317
BaseRepresentation
bin1000010100010000…
…0101111000110100
312202120201211021121
42011010011320310
514033001124140
61005304553324
7106215306325
oct20504057064
95676654247
102232442420
11a4617903a
12523782844
13297680260
141726c444c
15d0ec964a
hex85105e34

2232442420 has 24 divisors (see below), whose sum is σ = 5048754984. Its totient is φ = 824286336.

The previous prime is 2232442379. The next prime is 2232442423. The reversal of 2232442420 is 242442322.

It can be written as a sum of positive squares in 4 ways, for example, as 15539364 + 2216903056 = 3942^2 + 47084^2 .

It is a super-3 number, since 3×22324424203 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232442423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4292899 + ... + 4293418.

It is an arithmetic number, because the mean of its divisors is an integer number (210364791).

Almost surely, 22232442420 is an apocalyptic number.

2232442420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232442420 is an abundant number, since it is smaller than the sum of its proper divisors (2816312564).

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

2232442420 is a wasteful number, since it uses less digits than its factorization.

2232442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8586339 (or 8586337 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 2232442420 is about 47248.7292950826. The cubic root of 2232442420 is about 1306.9533573989.

Adding to 2232442420 its reverse (242442322), we get a palindrome (2474884742).

The spelling of 2232442420 in words is "two billion, two hundred thirty-two million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8586317 17172634 34345268 42931585 85863170 111622121 171726340 223244242 446488484 558110605 1116221210 2232442420