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2252002541 = 82914291901
BaseRepresentation
bin1000011000111010…
…1101010011101101
312210221112120201112
42012032231103231
514103003040131
61011244121405
7106543464035
oct20616552355
95727476645
102252002541
11a56218928
1252a236265
1329b73b3a9
141751368c5
15d2a9002b
hex863ad4ed

2252002541 has 8 divisors (see below), whose sum is σ = 2257483800. Its totient is φ = 2246529600.

The previous prime is 2252002517. The next prime is 2252002547. The reversal of 2252002541 is 1452002522.

It can be written as a sum of positive squares in 4 ways, for example, as 13293316 + 2238709225 = 3646^2 + 47315^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2252002541 - 222 = 2247808237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252002547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183691 + ... + 1185591.

It is an arithmetic number, because the mean of its divisors is an integer number (282185475).

Almost surely, 22252002541 is an apocalyptic number.

It is an amenable number.

2252002541 is a deficient number, since it is larger than the sum of its proper divisors (5481259).

2252002541 is a wasteful number, since it uses less digits than its factorization.

2252002541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159.

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2252002541 is about 47455.2688434066. The cubic root of 2252002541 is about 1310.7593330956.

The spelling of 2252002541 in words is "two billion, two hundred fifty-two million, two thousand, five hundred forty-one".

Divisors: 1 829 1429 1901 1184641 1575929 2716529 2252002541