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2233438272 = 26351311047
BaseRepresentation
bin1000010100011111…
…1001000001000000
312202122121102100000
42011013321001000
514033230011042
61005342200000
7106226624562
oct20507710100
95678542300
102233438272
11a4679925a
12523b83000
1329793b610
141728a3332
15d112474c
hex851f9040

2233438272 has 168 divisors, whose sum is σ = 7150177216. Its totient is φ = 687149568.

The previous prime is 2233438271. The next prime is 2233438279. The reversal of 2233438272 is 2728343322.

2233438272 is a `hidden beast` number, since 22 + 334 + 38 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2233438271) 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, 196653 + ... + 207699.

Almost surely, 22233438272 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 2233438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575088608).

2233438272 is an abundant number, since it is smaller than the sum of its proper divisors (4916738944).

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

2233438272 is a wasteful number, since it uses less digits than its factorization.

2233438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11087 (or 11065 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 2233438272 is about 47259.2665199112. The cubic root of 2233438272 is about 1307.1476645579.

It can be divided in two parts, 22334 and 38272, that added together give a palindrome (60606).

The spelling of 2233438272 in words is "two billion, two hundred thirty-three million, four hundred thirty-eight thousand, two hundred seventy-two".