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224113304040 = 23351867610867
BaseRepresentation
bin1101000010111000110…
…0011010000111101000
3210102110211201110010020
43100232030122013220
512132441001212130
6250542313520440
722122510436653
oct3205614320750
9712424643106
10224113304040
118705613244a
1237527113120
1318197c39712
14abc07b289a
155c6a396e10
hex342e31a1e8

224113304040 has 32 divisors (see below), whose sum is σ = 672339912480. Its totient is φ = 59763547712.

The previous prime is 224113304011. The next prime is 224113304047. The reversal of 224113304040 is 40403311422.

It is a super-3 number, since 3×2241133040403 (a number of 35 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224113304040.

It is not an unprimeable number, because it can be changed into a prime (224113304047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933805314 + ... + 933805553.

It is an arithmetic number, because the mean of its divisors is an integer number (21010622265).

Almost surely, 2224113304040 is an apocalyptic number.

224113304040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224113304040 is an abundant number, since it is smaller than the sum of its proper divisors (448226608440).

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

224113304040 is a wasteful number, since it uses less digits than its factorization.

224113304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867610881 (or 1867610877 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 224113304040 its reverse (40403311422), we get a palindrome (264516615462).

The spelling of 224113304040 in words is "two hundred twenty-four billion, one hundred thirteen million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1867610867 3735221734 5602832601 7470443468 9338054335 11205665202 14940886936 18676108670 22411330404 28014163005 37352217340 44822660808 56028326010 74704434680 112056652020 224113304040