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2240323224 = 233131712571
BaseRepresentation
bin1000010110001000…
…1001111010011000
312210010120012201020
42011202021322120
514042010320344
61010145522440
7106342301406
oct20542117230
95703505636
102240323224
11a4a670aa7
12526343420
132991ac359
14173776476
15d1a34719
hex85889e98

2240323224 has 32 divisors (see below), whose sum is σ = 5643570240. Its totient is φ = 741072800.

The previous prime is 2240323201. The next prime is 2240323229. The reversal of 2240323224 is 4223230422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2240323194 and 2240323203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240323229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 353142 + ... + 359429.

It is an arithmetic number, because the mean of its divisors is an integer number (176361570).

Almost surely, 22240323224 is an apocalyptic number.

2240323224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2240323224 is an abundant number, since it is smaller than the sum of its proper divisors (3403247016).

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

2240323224 is a wasteful number, since it uses less digits than its factorization.

2240323224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712711 (or 712707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2240323224 is about 47332.0528183598. The cubic root of 2240323224 is about 1308.4894548068.

Adding to 2240323224 its reverse (4223230422), we get a palindrome (6463553646).

The spelling of 2240323224 in words is "two billion, two hundred forty million, three hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 1048 1572 3144 712571 1425142 2137713 2850284 4275426 5700568 8550852 17101704 93346801 186693602 280040403 373387204 560080806 746774408 1120161612 2240323224