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2244037120 = 2951367429
BaseRepresentation
bin1000010111000001…
…0100101000000000
312210101112220012221
42011300110220000
514043433141440
61010401300424
7106416000163
oct20560245000
95711486187
102244037120
11a51778336
12527634714
13299bac920
14174061ada
15d2019d4a
hex85c14a00

2244037120 has 80 divisors (see below), whose sum is σ = 5794394760. Its totient is φ = 828555264.

The previous prime is 2244037079. The next prime is 2244037129. The reversal of 2244037120 is 217304422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 622203136 + 1621833984 = 24944^2 + 40272^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2244037129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435 + ... + 66994.

Almost surely, 22244037120 is an apocalyptic number.

2244037120 is a gapful number since it is divisible by the number (20) 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 2244037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897197380).

2244037120 is an abundant number, since it is smaller than the sum of its proper divisors (3550357640).

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

2244037120 is an equidigital number, since it uses as much as digits as its factorization.

2244037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67465 (or 67449 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 2244037120 is about 47371.2689295949. The cubic root of 2244037120 is about 1309.2121051280.

The spelling of 2244037120 in words is "two billion, two hundred forty-four million, thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 67429 134858 269716 337145 539432 674290 876577 1078864 1348580 1753154 2157728 2697160 3506308 4315456 4382885 5394320 7012616 8630912 8765770 10788640 14025232 17261824 17531540 21577280 28050464 34523648 35063080 43154560 56100928 70126160 86309120 112201856 140252320 172618240 224403712 280504640 448807424 561009280 1122018560 2244037120