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2242041525 = 34524332557
BaseRepresentation
bin1000010110100010…
…1101011010110101
312210020210111210000
42011220231122311
514042430312100
61010250421513
7106363016133
oct20550553265
95706714700
102242041525
11a50634a89
12526a31899
132996614b9
14173aa2753
15d1c73900
hex85a2d6b5

2242041525 has 60 divisors (see below), whose sum is σ = 4164255172. Its totient is φ = 1192527360.

The previous prime is 2242041521. The next prime is 2242041547. The reversal of 2242041525 is 5251402422.

2242041525 is a `hidden beast` number, since 2 + 242 + 0 + 415 + 2 + 5 = 666.

2242041525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 339075396 + 1902966129 = 18414^2 + 43623^2 .

It is not a de Polignac number, because 2242041525 - 22 = 2242041521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242041521) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 875547 + ... + 878103.

Almost surely, 22242041525 is an apocalyptic number.

2242041525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2242041525 is a deficient number, since it is larger than the sum of its proper divisors (1922213647).

2242041525 is a wasteful number, since it uses less digits than its factorization.

2242041525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2242041525 is about 47350.2008971451. The cubic root of 2242041525 is about 1308.8239012136.

Adding to 2242041525 its reverse (5251402422), we get a palindrome (7493443947).

The spelling of 2242041525 in words is "two billion, two hundred forty-two million, forty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 433 675 1299 2025 2165 2557 3897 6495 7671 10825 11691 12785 19485 23013 32475 35073 38355 58455 63925 69039 97425 115065 175365 191775 207117 292275 345195 575325 876825 1035585 1107181 1725975 3321543 5177925 5535905 9964629 16607715 27679525 29893887 49823145 83038575 89681661 149469435 249115725 448408305 747347175 2242041525