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2243012224 = 27371373457
BaseRepresentation
bin1000010110110001…
…1010011010000000
312210022121211022211
42011230122122000
514043202342344
61010323311504
7106404201145
oct20554323200
95708554284
102243012224
11a51138312
1252721b594
1329991128b
14173c763cc
15d1db6334
hex85b1a680

2243012224 has 64 divisors (see below), whose sum is σ = 4624106760. Its totient is φ = 1082916864.

The previous prime is 2243012203. The next prime is 2243012231. The reversal of 2243012224 is 4222103422.

It can be written as a sum of positive squares in 4 ways, for example, as 1812034624 + 430977600 = 42568^2 + 20760^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×22430122242 = 10062207674026852352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2243012195 and 2243012204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647104 + ... + 650560.

Almost surely, 22243012224 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 2243012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312053380).

2243012224 is an abundant number, since it is smaller than the sum of its proper divisors (2381094536).

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

2243012224 is a wasteful number, since it uses less digits than its factorization.

2243012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2243012224 is about 47360.4499978621. The cubic root of 2243012224 is about 1309.0127604490.

Adding to 2243012224 its reverse (4222103422), we get a palindrome (6465115646).

The spelling of 2243012224 in words is "two billion, two hundred forty-three million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 137 148 274 296 548 592 1096 1184 2192 2368 3457 4384 4736 5069 6914 8768 10138 13828 17536 20276 27656 40552 55312 81104 110624 127909 162208 221248 255818 324416 442496 473609 511636 648832 947218 1023272 1894436 2046544 3788872 4093088 7577744 8186176 15155488 16372352 17523533 30310976 35047066 60621952 70094132 140188264 280376528 560753056 1121506112 2243012224