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242025012 = 223283107757
BaseRepresentation
bin11100110110100…
…00001000110100
3121212102010220100
432123100020310
5443424300022
640003234100
75666115165
oct1633201064
9555363810
10242025012
11114686a79
1269078930
133b1ac788
142420176c
15163ab1ac
hexe6d0234

242025012 has 72 divisors (see below), whose sum is σ = 625768416. Its totient is φ = 78853824.

The previous prime is 242025011. The next prime is 242025031. The reversal of 242025012 is 210520242.

242025012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2420250122 = 117152212867200288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242025011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319338 + ... + 320094.

It is an arithmetic number, because the mean of its divisors is an integer number (8691228).

Almost surely, 2242025012 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 242025012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312884208).

242025012 is an abundant number, since it is smaller than the sum of its proper divisors (383743404).

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

242025012 is a wasteful number, since it uses less digits than its factorization.

242025012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242025012 is about 15557.1530814606. The cubic root of 242025012 is about 623.1894369497.

Adding to 242025012 its reverse (210520242), we get a palindrome (452545254).

The spelling of 242025012 in words is "two hundred forty-two million, twenty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 83 107 166 214 249 321 332 428 498 642 747 757 963 996 1284 1494 1514 1926 2271 2988 3028 3852 4542 6813 8881 9084 13626 17762 26643 27252 35524 53286 62831 79929 80999 106572 125662 159858 161998 188493 242997 251324 319716 323996 376986 485994 565479 728991 753972 971988 1130958 1457982 2261916 2915964 6722917 13445834 20168751 26891668 40337502 60506253 80675004 121012506 242025012