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2234001312 = 253229267481
BaseRepresentation
bin1000010100101000…
…0010011110100000
312202200200000200100
42011022002132200
514033401020222
61005402222400
7106234461234
oct20512023640
95680600610
102234001312
11a47043284
125241b4a00
13297aa798a
141729ac5c4
15d11d64ac
hex852827a0

2234001312 has 72 divisors (see below), whose sum is σ = 6572032740. Its totient is φ = 718986240.

The previous prime is 2234001307. The next prime is 2234001337. The reversal of 2234001312 is 2131004322.

It can be written as a sum of positive squares in 2 ways, for example, as 1989516816 + 244484496 = 44604^2 + 15636^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125389 + ... + 142092.

Almost surely, 22234001312 is an apocalyptic number.

It is an amenable number.

2234001312 is an abundant number, since it is smaller than the sum of its proper divisors (4338031428).

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

2234001312 is a wasteful number, since it uses less digits than its factorization.

2234001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267526 (or 267515 counting only the distinct ones).

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

The square root of 2234001312 is about 47265.2230715142. The cubic root of 2234001312 is about 1307.2574973948.

Adding to 2234001312 its reverse (2131004322), we get a palindrome (4365005634).

The spelling of 2234001312 in words is "two billion, two hundred thirty-four million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 267481 534962 802443 1069924 1604886 2139848 2407329 3209772 4279696 4814658 6419544 7756949 8559392 9629316 12839088 15513898 19258632 23270847 25678176 31027796 38517264 46541694 62055592 69812541 77034528 93083388 124111184 139625082 186166776 248222368 279250164 372333552 558500328 744667104 1117000656 2234001312