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2232443020 = 2252333714401
BaseRepresentation
bin1000010100010000…
…0110000010001100
312202120201212002211
42011010012002030
514033001134040
61005305000204
7106215311143
oct20504060214
95676655084
102232443020
11a46179535
12523783064
13297680602
141726c475a
15d0ec98ea
hex8510608c

2232443020 has 48 divisors (see below), whose sum is σ = 4906819008. Its totient is φ = 851558400.

The previous prime is 2232442991. The next prime is 2232443027. The reversal of 2232443020 is 203442322.

It is a super-3 number, since 3×22324430203 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232442982 and 2232443000.

It is not an unprimeable number, because it can be changed into a prime (2232443027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147820 + ... + 162220.

It is an arithmetic number, because the mean of its divisors is an integer number (102225396).

Almost surely, 22232443020 is an apocalyptic number.

2232443020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453409504).

2232443020 is an abundant number, since it is smaller than the sum of its proper divisors (2674375988).

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

2232443020 is a wasteful number, since it uses less digits than its factorization.

2232443020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14770 (or 14768 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2232443020 is about 47248.7356444593. The cubic root of 2232443020 is about 1306.9534744862.

Adding to 2232443020 its reverse (203442322), we get a palindrome (2435885342).

The spelling of 2232443020 in words is "two billion, two hundred thirty-two million, four hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 337 460 674 1348 1685 3370 6740 7751 14401 15502 28802 31004 38755 57604 72005 77510 144010 155020 288020 331223 662446 1324892 1656115 3312230 4853137 6624460 9706274 19412548 24265685 48531370 97062740 111622151 223244302 446488604 558110755 1116221510 2232443020