Search a number
-
+
2327041224 = 233419718229
BaseRepresentation
bin1000101010110011…
…1101010011001000
320000011201221110000
42022230331103020
514231210304344
61022524323000
7111444344514
oct21254752310
96004657400
102327041224
11a94610572
1254b3a3460
132b1152491
141810ab144
15d9463a69
hex8ab3d4c8

2327041224 has 80 divisors (see below), whose sum is σ = 6551315100. Its totient is φ = 771700608.

The previous prime is 2327041201. The next prime is 2327041247. The reversal of 2327041224 is 4221407232.

It is an interprime number because it is at equal distance from previous prime (2327041201) and next prime (2327041247).

It can be written as a sum of positive squares in 2 ways, for example, as 1362938724 + 964102500 = 36918^2 + 31050^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118542 + ... + 136770.

Almost surely, 22327041224 is an apocalyptic number.

2327041224 is a gapful number since it is divisible by the number (24) 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 2327041224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275657550).

2327041224 is an abundant number, since it is smaller than the sum of its proper divisors (4224273876).

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

2327041224 is a wasteful number, since it uses less digits than its factorization.

2327041224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18444 (or 18431 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2327041224 is about 48239.4156681028. The cubic root of 2327041224 is about 1325.1591073204.

Adding to 2327041224 its reverse (4221407232), we get a palindrome (6548448456).

The spelling of 2327041224 in words is "two billion, three hundred twenty-seven million, forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 197 216 324 394 591 648 788 1182 1576 1773 2364 3546 4728 5319 7092 10638 14184 15957 18229 21276 31914 36458 42552 54687 63828 72916 109374 127656 145832 164061 218748 328122 437496 492183 656244 984366 1312488 1476549 1968732 2953098 3591113 3937464 5906196 7182226 10773339 11812392 14364452 21546678 28728904 32320017 43093356 64640034 86186712 96960051 129280068 193920102 258560136 290880153 387840204 581760306 775680408 1163520612 2327041224