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2230061344 = 25721738221
BaseRepresentation
bin1000010011101100…
…0000100100100000
312202102020212001121
42010323000210200
514031343430334
61005141542024
7106156131400
oct20473004440
95672225047
102230061344
11a448a2105
12522a14914
13297028534
14172264800
15d0ba8db4
hex84ec0920

2230061344 has 72 divisors (see below), whose sum is σ = 5137385148. Its totient is φ = 950100480.

The previous prime is 2230061329. The next prime is 2230061359. The reversal of 2230061344 is 4431600322.

It is an interprime number because it is at equal distance from previous prime (2230061329) and next prime (2230061359).

It can be written as a sum of positive squares in 2 ways, for example, as 1696451344 + 533610000 = 41188^2 + 23100^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267154 + ... + 275374.

Almost surely, 22230061344 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 2230061344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568692574).

2230061344 is an abundant number, since it is smaller than the sum of its proper divisors (2907323804).

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

2230061344 is a wasteful number, since it uses less digits than its factorization.

2230061344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8418 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 2230061344 is about 47223.5253237197. The cubic root of 2230061344 is about 1306.4885358082.

Adding to 2230061344 its reverse (4431600322), we get a palindrome (6661661666).

The spelling of 2230061344 in words is "two billion, two hundred thirty million, sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 173 196 224 346 392 692 784 1211 1384 1568 2422 2768 4844 5536 8221 8477 9688 16442 16954 19376 32884 33908 38752 57547 65768 67816 115094 131536 135632 230188 263072 271264 402829 460376 805658 920752 1422233 1611316 1841504 2844466 3222632 5688932 6445264 9955631 11377864 12890528 19911262 22755728 39822524 45511456 69689417 79645048 139378834 159290096 278757668 318580192 557515336 1115030672 2230061344