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242225420 = 225232771901
BaseRepresentation
bin11100111000000…
…01000100001100
3121212210022210212
432130001010030
5444002203140
640011421552
76000611363
oct1634010414
9555708725
10242225420
111148035a8
12691548b8
133b24ca68
14242547da
15163ea765
hexe70110c

242225420 has 48 divisors (see below), whose sum is σ = 532986048. Its totient is φ = 92294400.

The previous prime is 242225411. The next prime is 242225441. The reversal of 242225420 is 24522242.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126470 + ... + 128370.

It is an arithmetic number, because the mean of its divisors is an integer number (11103876).

Almost surely, 2242225420 is an apocalyptic number.

242225420 is a gapful number since it is divisible by the number (20) 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 242225420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266493024).

242225420 is an abundant number, since it is smaller than the sum of its proper divisors (290760628).

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

242225420 is a wasteful number, since it uses less digits than its factorization.

242225420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 242225420 is about 15563.5927728786. The cubic root of 242225420 is about 623.3613994690.

Adding to 242225420 its reverse (24522242), we get a palindrome (266747662).

The spelling of 242225420 in words is "two hundred forty-two million, two hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 277 460 554 1108 1385 1901 2770 3802 5540 6371 7604 9505 12742 19010 25484 31855 38020 43723 63710 87446 127420 174892 218615 437230 526577 874460 1053154 2106308 2632885 5265770 10531540 12111271 24222542 48445084 60556355 121112710 242225420