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240233220 = 223251334629
BaseRepresentation
bin11100101000110…
…10101100000100
3121202001010000200
432110122230010
5442444430340
635501010500
75644643253
oct1624325404
9552033020
10240233220
11113672857
1268553a30
133aa03046
1423c9679a
1516155330
hexe51ab04

240233220 has 36 divisors (see below), whose sum is σ = 728707980. Its totient is φ = 64062144.

The previous prime is 240233219. The next prime is 240233221. The reversal of 240233220 is 22332042.

It is an interprime number because it is at equal distance from previous prime (240233219) and next prime (240233221).

It can be written as a sum of positive squares in 2 ways, for example, as 73513476 + 166719744 = 8574^2 + 12912^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 240233193 and 240233202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240233221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667135 + ... + 667494.

Almost surely, 2240233220 is an apocalyptic number.

240233220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240233220 is an abundant number, since it is smaller than the sum of its proper divisors (488474760).

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

240233220 is a wasteful number, since it uses less digits than its factorization.

240233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334644 (or 1334639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 240233220 is about 15499.4587002256. The cubic root of 240233220 is about 621.6477329017.

Adding to 240233220 its reverse (22332042), we get a palindrome (262565262).

The spelling of 240233220 in words is "two hundred forty million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1334629 2669258 4003887 5338516 6673145 8007774 12011661 13346290 16015548 20019435 24023322 26692580 40038870 48046644 60058305 80077740 120116610 240233220