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2249033472 = 28337234347
BaseRepresentation
bin1000011000001101…
…1000011100000000
312210201221201221000
42012003120130000
514101223032342
61011100332000
7106506316620
oct20603303400
95721851830
102249033472
11a54580154
12529244000
1329ac3bb4a
141749a2880
15d26a544c
hex860d8700

2249033472 has 576 divisors, whose sum is σ = 8288501760. Its totient is φ = 587575296.

The previous prime is 2249033467. The next prime is 2249033489. The reversal of 2249033472 is 2743309422.

It is a happy number.

2249033472 is a `hidden beast` number, since 224 + 90 + 3 + 347 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47851753 + ... + 47851799.

It is an arithmetic number, because the mean of its divisors is an integer number (14389760).

Almost surely, 22249033472 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 2249033472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144250880).

2249033472 is an abundant number, since it is smaller than the sum of its proper divisors (6039468288).

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

2249033472 is a wasteful number, since it uses less digits than its factorization.

2249033472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2249033472 is about 47423.9757084958. The cubic root of 2249033472 is about 1310.1830391247.

The spelling of 2249033472 in words is "two billion, two hundred forty-nine million, thirty-three thousand, four hundred seventy-two".