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20242240224 = 253210856669
BaseRepresentation
bin10010110110100010…
…000001001011100000
31221020201100100100220
4102312202001023200
5312424003141344
613144341243040
71314423126423
oct226642011340
957221310326
1020242240224
118648242758
123b0b103480
131ba793134b
14da05419ba
157d716ac19
hex4b68812e0

20242240224 has 24 divisors (see below), whose sum is σ = 53135880840. Its totient is φ = 6747413376.

The previous prime is 20242240169. The next prime is 20242240241. The reversal of 20242240224 is 42204224202.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×202422402242 (a number of 21 digits) contains 22 as substring.

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 = 20242240194 and 20242240203.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 105428239 + ... + 105428430.

It is an arithmetic number, because the mean of its divisors is an integer number (2213995035).

Almost surely, 220242240224 is an apocalyptic number.

20242240224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20242240224 is an abundant number, since it is smaller than the sum of its proper divisors (32893640616).

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

20242240224 is a wasteful number, since it uses less digits than its factorization.

20242240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210856682 (or 210856674 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20242240224 its reverse (42204224202), we get a palindrome (62446464426).

The spelling of 20242240224 in words is "twenty billion, two hundred forty-two million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 210856669 421713338 632570007 843426676 1265140014 1686853352 2530280028 3373706704 5060560056 6747413408 10121120112 20242240224