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2234185344 = 27321939397
BaseRepresentation
bin1000010100101010…
…1111011010000000
312202201000101010100
42011022233122000
514033422412334
61005410202400
7106236155616
oct20512573200
95681011110
102234185344
11a47159576
12524283400
13297b40681
14172a196b6
15d1220c99
hex852af680

2234185344 has 48 divisors (see below), whose sum is σ = 6429104370. Its totient is φ = 744728064.

The previous prime is 2234185337. The next prime is 2234185363. The reversal of 2234185344 is 4435814322.

2234185344 is a `hidden beast` number, since 2 + 234 + 1 + 85 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1543546944 + 690638400 = 39288^2 + 26280^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2234185299 and 2234185308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 968547 + ... + 970850.

Almost surely, 22234185344 is an apocalyptic number.

2234185344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2234185344 is an abundant number, since it is smaller than the sum of its proper divisors (4194919026).

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

2234185344 is a wasteful number, since it uses less digits than its factorization.

2234185344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939417 (or 1939402 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2234185344 is about 47267.1698327708. The cubic root of 2234185344 is about 1307.2933927193.

Adding to 2234185344 its reverse (4435814322), we get a palindrome (6669999666).

It can be divided in two parts, 2234 and 185344, that added together give a triangular number (187578 = T612).

The spelling of 2234185344 in words is "two billion, two hundred thirty-four million, one hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1939397 3878794 5818191 7757588 11636382 15515176 17454573 23272764 31030352 34909146 46545528 62060704 69818292 93091056 124121408 139636584 186182112 248242816 279273168 372364224 558546336 744728448 1117092672 2234185344