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2273012829 = 321770121193
BaseRepresentation
bin1000011101111011…
…0110110001011101
312212102002000102100
42013132312301131
514123342402304
61013314315313
7110220201363
oct20736666135
95772060370
102273012829
11a670691aa
12535288b39
132a2bb6609
14177c45633
15d4840439
hex877b6c5d

2273012829 has 24 divisors (see below), whose sum is σ = 3481495992. Its totient is φ = 1424102400.

The previous prime is 2273012827. The next prime is 2273012867. The reversal of 2273012829 is 9282103722.

It can be written as a sum of positive squares in 4 ways, for example, as 417384900 + 1855627929 = 20430^2 + 43077^2 .

It is not a de Polignac number, because 2273012829 - 21 = 2273012827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2273012793 and 2273012802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273012827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96657 + ... + 117849.

It is an arithmetic number, because the mean of its divisors is an integer number (145062333).

Almost surely, 22273012829 is an apocalyptic number.

It is an amenable number.

2273012829 is a deficient number, since it is larger than the sum of its proper divisors (1208483163).

2273012829 is a wasteful number, since it uses less digits than its factorization.

2273012829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21917 (or 21914 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2273012829 is about 47676.1243076658. The cubic root of 2273012829 is about 1314.8230094263.

The spelling of 2273012829 in words is "two billion, two hundred seventy-three million, twelve thousand, eight hundred twenty-nine".

Divisors: 1 3 9 17 51 153 701 2103 6309 11917 21193 35751 63579 107253 190737 360281 1080843 3242529 14856293 44568879 133706637 252556981 757670943 2273012829