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2228083501 = 73797131677
BaseRepresentation
bin1000010011001101…
…1101101100101101
312202021112100222011
42010303131230231
514030342133001
61005031321221
7106133253160
oct20463355455
95667470864
102228083501
11a43771126
12522220211
132967b5207
14171cabad7
15d0917d51
hex84cddb2d

2228083501 has 32 divisors (see below), whose sum is σ = 2666264832. Its totient is φ = 1822279680.

The previous prime is 2228083463. The next prime is 2228083513. The reversal of 2228083501 is 1053808222.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2228083501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228083591) 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 31 ways as a sum of consecutive naturals, for example, 3290775 + ... + 3291451.

It is an arithmetic number, because the mean of its divisors is an integer number (83320776).

Almost surely, 22228083501 is an apocalyptic number.

It is an amenable number.

2228083501 is a deficient number, since it is larger than the sum of its proper divisors (438181331).

2228083501 is a wasteful number, since it uses less digits than its factorization.

2228083501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2228083501 is about 47202.5793892664. The cubic root of 2228083501 is about 1306.1021796937.

The spelling of 2228083501 in words is "two billion, two hundred twenty-eight million, eighty-three thousand, five hundred one".

Divisors: 1 7 37 97 131 259 677 679 917 3589 4739 4847 12707 25049 25123 33929 65669 88687 88949 175343 459683 470159 620809 2429753 3281419 3291113 8602639 17008271 22969933 60218473 318297643 2228083501