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1000225541 = 72319931219
BaseRepresentation
bin111011100111100…
…011101100000101
32120201002201111102
4323213203230011
54022024204131
6243130145445
733533530310
oct7347435405
92521081442
101000225541
11473668287
1223ab82285
1312c2b8a43
1496ba9977
155cc281cb
hex3b9e3b05

1000225541 has 16 divisors (see below), whose sum is σ = 1198848000. Its totient is φ = 815913648.

The previous prime is 1000225519. The next prime is 1000225561. The reversal of 1000225541 is 1455220001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000225541 is a prime.

It is a super-2 number, since 2×10002255412 = 2000902265737485362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000225561) 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 15 ways as a sum of consecutive naturals, for example, 16430 + ... + 47648.

It is an arithmetic number, because the mean of its divisors is an integer number (74928000).

Almost surely, 21000225541 is an apocalyptic number.

It is an amenable number.

1000225541 is a deficient number, since it is larger than the sum of its proper divisors (198622459).

1000225541 is a wasteful number, since it uses less digits than its factorization.

1000225541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31448.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1000225541 is about 31626.3425169589. The cubic root of 1000225541 is about 1000.0751746820.

Adding to 1000225541 its reverse (1455220001), we get a palindrome (2455445542).

The spelling of 1000225541 in words is "one billion, two hundred twenty-five thousand, five hundred forty-one".

Divisors: 1 7 23 161 199 1393 4577 31219 32039 218533 718037 5026259 6212581 43488067 142889363 1000225541