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2246887552 = 277213171621
BaseRepresentation
bin1000010111101100…
…1100100010000000
312210120220201021111
42011323030202000
514100200400202
61010542333104
7106452141400
oct20573144200
95716821244
102246887552
11a53344968
1252858a194
1329a66a180
141745a4800
15d23ce6d7
hex85ecc880

2246887552 has 192 divisors, whose sum is σ = 5941094040. Its totient is φ = 836075520.

The previous prime is 2246887537. The next prime is 2246887627. The reversal of 2246887552 is 2557886422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2052452416 + 194435136 = 45304^2 + 13944^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 2246887496 and 2246887505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1385302 + ... + 1386922.

Almost surely, 22246887552 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 2246887552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970547020).

2246887552 is an abundant number, since it is smaller than the sum of its proper divisors (3694206488).

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

2246887552 is a wasteful number, since it uses less digits than its factorization.

2246887552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1660 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 49.

The square root of 2246887552 is about 47401.3454661363. The cubic root of 2246887552 is about 1309.7662018905.

The spelling of 2246887552 in words is "two billion, two hundred forty-six million, eight hundred eighty-seven thousand, five hundred fifty-two".