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2254332042 = 232127986147
BaseRepresentation
bin1000011001011110…
…0110000010001010
312211002220221012100
42012113212002022
514104102111132
61011410054230
7106602335424
oct20627460212
95732827170
102254332042
11a5756a036
1252ab7a376
1329c0757b1
14175581814
15d2da037c
hex865e608a

2254332042 has 24 divisors (see below), whose sum is σ = 4922850816. Its totient is φ = 745526376.

The previous prime is 2254332029. The next prime is 2254332161. The reversal of 2254332042 is 2402334522.

It is a happy number.

2254332042 is a `hidden beast` number, since 2 + 25 + 433 + 204 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2254331997 and 2254332015.

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 11 ways as a sum of consecutive naturals, for example, 490788 + ... + 495359.

It is an arithmetic number, because the mean of its divisors is an integer number (205118784).

Almost surely, 22254332042 is an apocalyptic number.

2254332042 is an abundant number, since it is smaller than the sum of its proper divisors (2668518774).

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

2254332042 is a wasteful number, since it uses less digits than its factorization.

2254332042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986282 (or 986279 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2254332042 is about 47479.8066761018. The cubic root of 2254332042 is about 1311.2111329042.

Adding to 2254332042 its reverse (2402334522), we get a palindrome (4656666564).

It can be divided in two parts, 225433 and 2042, that added together give a triangular number (227475 = T674).

The spelling of 2254332042 in words is "two billion, two hundred fifty-four million, three hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 127 254 381 762 1143 2286 986147 1972294 2958441 5916882 8875323 17750646 125240669 250481338 375722007 751444014 1127166021 2254332042