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2232212333 = 132121310889
BaseRepresentation
bin1000010100001100…
…1101101101101101
312202120022010122212
42011003031231231
514032421243313
61005300020205
7106213330451
oct20503155555
95676263585
102232212333
11a4603118a
12523691665
132975cc600
14172664661
15d0e813a8
hex850cdb6d

2232212333 has 12 divisors (see below), whose sum is σ = 2419344180. Its totient is φ = 2058615936.

The previous prime is 2232212327. The next prime is 2232212363. The reversal of 2232212333 is 3332122322.

2232212333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1552202404 + 680009929 = 39398^2 + 26077^2 .

It is not a de Polignac number, because 2232212333 - 220 = 2231163757 is a prime.

It is a super-3 number, since 3×22322123333 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2232212299 and 2232212308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232212363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199553 + ... + 210441.

It is an arithmetic number, because the mean of its divisors is an integer number (201612015).

Almost surely, 22232212333 is an apocalyptic number.

It is an amenable number.

2232212333 is a deficient number, since it is larger than the sum of its proper divisors (187131847).

2232212333 is a wasteful number, since it uses less digits than its factorization.

2232212333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12128 (or 12115 counting only the distinct ones).

The product of its digits is 2592, while the sum is 23.

The square root of 2232212333 is about 47246.2943837927. The cubic root of 2232212333 is about 1306.9084554108.

Adding to 2232212333 its reverse (3332122322), we get a palindrome (5564334655).

The spelling of 2232212333 in words is "two billion, two hundred thirty-two million, two hundred twelve thousand, three hundred thirty-three".

Divisors: 1 13 169 1213 10889 15769 141557 204997 1840241 13208357 171708641 2232212333