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2232020500 = 22536173181
BaseRepresentation
bin1000010100001001…
…1110111000010100
312202112221101111221
42011002132320110
514032344124000
61005251540124
7106211601253
oct20502367024
95675841457
102232020500
11a45a10046
125235ba644
132975631b8
1417261479a
15d0e4461a
hex8509ee14

2232020500 has 48 divisors (see below), whose sum is σ = 4954714128. Its totient is φ = 878160000.

The previous prime is 2232020477. The next prime is 2232020501. The reversal of 2232020500 is 50202322.

It can be written as a sum of positive squares in 8 ways, for example, as 1646574084 + 585446416 = 40578^2 + 24196^2 .

It is a super-3 number, since 3×22320205003 (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 (2232020501) 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, 6091 + ... + 67090.

It is an arithmetic number, because the mean of its divisors is an integer number (103223211).

Almost surely, 22232020500 is an apocalyptic number.

2232020500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232020500 is an abundant number, since it is smaller than the sum of its proper divisors (2722693628).

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

2232020500 is a wasteful number, since it uses less digits than its factorization.

2232020500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73261 (or 73249 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2232020500 is about 47244.2642021230. The cubic root of 2232020500 is about 1306.8710164169.

Adding to 2232020500 its reverse (50202322), we get a palindrome (2282222822).

The spelling of 2232020500 in words is "two billion, two hundred thirty-two million, twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 1220 1525 3050 6100 7625 15250 30500 73181 146362 292724 365905 731810 1463620 1829525 3659050 4464041 7318100 8928082 9147625 17856164 18295250 22320205 36590500 44640410 89280820 111601025 223202050 446404100 558005125 1116010250 2232020500