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2232203020 = 2251710165003
BaseRepresentation
bin1000010100001100…
…1011011100001100
312202120021122212221
42011003023130030
514032420444040
61005255505124
7106213261345
oct20503133414
95676248787
102232203020
11a46025193
125236881a4
132975c82b8
141726610cc
15d0e7d74a
hex850cb70c

2232203020 has 48 divisors (see below), whose sum is σ = 5012588448. Its totient is φ = 832025600.

The previous prime is 2232202967. The next prime is 2232203027. The reversal of 2232203020 is 203022322.

It is a super-3 number, since 3×22322030203 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232202985 and 2232203003.

It is not an unprimeable number, because it can be changed into a prime (2232203027) by changing a digit.

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, 1839 + ... + 66841.

It is an arithmetic number, because the mean of its divisors is an integer number (104428926).

Almost surely, 22232203020 is an apocalyptic number.

2232203020 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 2232203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506294224).

2232203020 is an abundant number, since it is smaller than the sum of its proper divisors (2780385428).

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

2232203020 is a wasteful number, since it uses less digits than its factorization.

2232203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65130 (or 65128 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2232203020 is about 47246.1958256959. The cubic root of 2232203020 is about 1306.9066378932.

Adding to 2232203020 its reverse (203022322), we get a palindrome (2435225342).

The spelling of 2232203020 in words is "two billion, two hundred thirty-two million, two hundred three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 17170 34340 65003 130006 260012 325015 650030 1105051 1300060 2210102 4420204 5525255 6565303 11050510 13130606 22101020 26261212 32826515 65653030 111610151 131306060 223220302 446440604 558050755 1116101510 2232203020