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2193311232 = 2932797701
BaseRepresentation
bin1000001010111011…
…0100011000000000
312122212002202101100
42002232310120000
513442441424412
61001350134400
7105231560250
oct20256643000
95585082340
102193311232
11a26081212
12512651400
1328c52bcc8
1416b419960
15cc849edc
hex82bb4600

2193311232 has 240 divisors, whose sum is σ = 7319344032. Its totient is φ = 619315200.

The previous prime is 2193311231. The next prime is 2193311233. The reversal of 2193311232 is 2321133912.

It is an interprime number because it is at equal distance from previous prime (2193311231) and next prime (2193311233).

It is a super-2 number, since 2×21933112322 = 9621228320834715648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2193311196 and 2193311205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193311231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3128482 + ... + 3129182.

Almost surely, 22193311232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659672016).

2193311232 is an abundant number, since it is smaller than the sum of its proper divisors (5126032800).

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

2193311232 is an equidigital number, since it uses as much as digits as its factorization.

2193311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 810 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 2193311232 is about 46832.8008131053. The cubic root of 2193311232 is about 1299.2720247710.

It can be divided in two parts, 219 and 3311232, that added together give a triangular number (3311451 = T2573).

The spelling of 2193311232 in words is "two billion, one hundred ninety-three million, three hundred eleven thousand, two hundred thirty-two".