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2230014312 = 233223258549
BaseRepresentation
bin1000010011101011…
…0101000101101000
312202102011110112200
42010322311011220
514031340424222
61005140540200
7106155544311
oct20472650550
95672143480
102230014312
11a4486a839
125229b1660
1329700ccc6
14172251608
15d0b99eac
hex84eb5168

2230014312 has 72 divisors (see below), whose sum is σ = 6313739250. Its totient is φ = 711006912.

The previous prime is 2230014307. The next prime is 2230014317. The reversal of 2230014312 is 2134100322.

2230014312 is a `hidden beast` number, since 2 + 230 + 0 + 1 + 431 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2230014307) and next prime (2230014317).

It can be written as a sum of positive squares in only one way, i.e., 1986841476 + 243172836 = 44574^2 + 15594^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2230014317) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8814 + ... + 67362.

Almost surely, 22230014312 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 2230014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156869625).

2230014312 is an abundant number, since it is smaller than the sum of its proper divisors (4083724938).

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

2230014312 is a wasteful number, since it uses less digits than its factorization.

2230014312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58607 (or 58577 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2230014312 is about 47223.0273489534. The cubic root of 2230014312 is about 1306.4793511280.

Adding to 2230014312 its reverse (2134100322), we get a palindrome (4364114634).

The spelling of 2230014312 in words is "two billion, two hundred thirty million, fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1587 1656 2116 3174 4232 4761 6348 9522 12696 19044 38088 58549 117098 175647 234196 351294 468392 526941 702588 1053882 1346627 1405176 2107764 2693254 4039881 4215528 5386508 8079762 10773016 12119643 16159524 24239286 30972421 32319048 48478572 61944842 92917263 96957144 123889684 185834526 247779368 278751789 371669052 557503578 743338104 1115007156 2230014312