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2133444124 = 22723727951
BaseRepresentation
bin111111100101001…
…1100011000011100
312111200110012011001
41333022130120130
513332130202444
6551411040044
7103603655500
oct17712343034
95450405131
102133444124
119a5301169
124b65a0024
1327ccca696
141634b4300
15c74718d4
hex7f29c61c

2133444124 has 54 divisors (see below), whose sum is σ = 4464197136. Its totient is φ = 889509600.

The previous prime is 2133444077. The next prime is 2133444151. The reversal of 2133444124 is 4214443312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2133444092 and 2133444101.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 264349 + ... + 272299.

Almost surely, 22133444124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133444124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232098568).

2133444124 is an abundant number, since it is smaller than the sum of its proper divisors (2330753012).

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

2133444124 is a wasteful number, since it uses less digits than its factorization.

2133444124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8043 (or 7997 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 2133444124 is about 46189.2208637470. The cubic root of 2133444124 is about 1287.3414639244.

Adding to 2133444124 its reverse (4214443312), we get a palindrome (6347887436).

The spelling of 2133444124 in words is "two billion, one hundred thirty-three million, four hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1369 1813 2738 3626 5476 7252 7951 9583 15902 19166 31804 38332 55657 67081 111314 134162 222628 268324 294187 389599 588374 779198 1176748 1558396 2059309 4118618 8237236 10884919 14415163 21769838 28830326 43539676 57660652 76194433 152388866 304777732 533361031 1066722062 2133444124