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242522500 = 2254118819
BaseRepresentation
bin11100111010010…
…01100110000100
3121220100102022211
432131021212010
5444041210000
640022033204
76003256453
oct1635114604
9556312284
10242522500
11114996820
1269278804
133b32504c
14242d0b9a
15164587ba
hexe749984

242522500 has 60 divisors (see below), whose sum is σ = 578627280. Its totient is φ = 88180000.

The previous prime is 242522473. The next prime is 242522549. The reversal of 242522500 is 5225242.

It is a happy number.

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

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 19 ways as a sum of consecutive naturals, for example, 23091 + ... + 31909.

It is an arithmetic number, because the mean of its divisors is an integer number (9643788).

Almost surely, 2242522500 is an apocalyptic number.

242522500 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 242522500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289313640).

242522500 is an abundant number, since it is smaller than the sum of its proper divisors (336104780).

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

242522500 is a wasteful number, since it uses less digits than its factorization.

242522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 242522500 is about 15573.1339171022. The cubic root of 242522500 is about 623.6161381437.

Adding to 242522500 its reverse (5225242), we get a palindrome (247747742).

The spelling of 242522500 in words is "two hundred forty-two million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 625 1100 1250 1375 2500 2750 5500 6875 8819 13750 17638 27500 35276 44095 88190 97009 176380 194018 220475 388036 440950 485045 881900 970090 1102375 1940180 2204750 2425225 4409500 4850450 5511875 9700900 11023750 12126125 22047500 24252250 48504500 60630625 121261250 242522500