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242233024 = 26111811901
BaseRepresentation
bin11100111000000…
…10111011000000
3121212210201020111
432130002323000
5444002424044
640011521104
76000642505
oct1634027300
9555721214
10242233024
11114809290
1269159194
133b253367
14242574ac
15163ecb34
hexe702ec0

242233024 has 56 divisors (see below), whose sum is σ = 527553936. Its totient is φ = 109440000.

The previous prime is 242233009. The next prime is 242233067. The reversal of 242233024 is 420332242.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 242232986 and 242233004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126474 + ... + 128374.

It is an arithmetic number, because the mean of its divisors is an integer number (9420606).

Almost surely, 2242233024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263776968).

242233024 is an abundant number, since it is smaller than the sum of its proper divisors (285320912).

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

242233024 is a wasteful number, since it uses less digits than its factorization.

242233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 242233024 is about 15563.8370590289. The cubic root of 242233024 is about 623.3679223056.

Adding to 242233024 its reverse (420332242), we get a palindrome (662565266).

The spelling of 242233024 in words is "two hundred forty-two million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 181 352 362 704 724 1448 1901 1991 2896 3802 3982 5792 7604 7964 11584 15208 15928 20911 30416 31856 41822 60832 63712 83644 121664 127424 167288 334576 344081 669152 688162 1338304 1376324 2752648 3784891 5505296 7569782 11010592 15139564 22021184 30279128 60558256 121116512 242233024