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242422224 = 243113712409
BaseRepresentation
bin11100111001100…
…01000111010000
3121220011022202220
432130301013100
5444030002344
640015541040
76002361222
oct1634610720
9556138686
10242422224
11114928450
126922a780
133b2bb505
14242a6412
1516438c19
hexe7311d0

242422224 has 80 divisors (see below), whose sum is σ = 701711040. Its totient is φ = 71470080.

The previous prime is 242422211. The next prime is 242422253. The reversal of 242422224 is 422224242.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242422194 and 242422203.

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 15 ways as a sum of consecutive naturals, for example, 13332 + ... + 25740.

It is an arithmetic number, because the mean of its divisors is an integer number (8771388).

Almost surely, 2242422224 is an apocalyptic number.

242422224 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 242422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350855520).

242422224 is an abundant number, since it is smaller than the sum of its proper divisors (459288816).

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

242422224 is a wasteful number, since it uses less digits than its factorization.

242422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12468 (or 12462 counting only the distinct ones).

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

The square root of 242422224 is about 15569.9140652734. The cubic root of 242422224 is about 623.5301772501.

Adding to 242422224 its reverse (422224242), we get a palindrome (664646466).

The spelling of 242422224 in words is "two hundred forty-two million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 12409 19536 24818 37227 49636 74454 99272 136499 148908 198544 272998 297816 409497 459133 545996 595632 818994 918266 1091992 1377399 1637988 1836532 2183984 2754798 3275976 3673064 5050463 5509596 6551952 7346128 10100926 11019192 15151389 20201852 22038384 30302778 40403704 60605556 80807408 121211112 242422224