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2249398272 = 21131183401
BaseRepresentation
bin1000011000010011…
…0001100000000000
312210202122021100010
42012010301200000
514101321221042
61011112224520
7106512366312
oct20604614000
95722567303
102249398272
11a547aa240
1252939b140
1329b038bc4
14174a597b2
15d272859c
hex86131800

2249398272 has 192 divisors, whose sum is σ = 6637438080. Its totient is φ = 671744000.

The previous prime is 2249398271. The next prime is 2249398279. The reversal of 2249398272 is 2728939422.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249398271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5609272 + ... + 5609672.

It is an arithmetic number, because the mean of its divisors is an integer number (34569990).

Almost surely, 22249398272 is an apocalyptic number.

2249398272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318719040).

2249398272 is an abundant number, since it is smaller than the sum of its proper divisors (4388039808).

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

2249398272 is a wasteful number, since it uses less digits than its factorization.

2249398272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 500 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 2249398272 is about 47427.8217083602. The cubic root of 2249398272 is about 1310.2538738394.

The spelling of 2249398272 in words is "two billion, two hundred forty-nine million, three hundred ninety-eight thousand, two hundred seventy-two".