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2111429208 = 233727922727
BaseRepresentation
bin111110111011001…
…1101101001011000
312110011000201100210
41331312131221120
513311011213313
6545303131120
7103215565200
oct17566355130
95404021323
102111429208
11993935019
124ab143aa0
132785900c5
141605c3400
15c55739c3
hex7dd9da58

2111429208 has 96 divisors (see below), whose sum is σ = 6218380800. Its totient is φ = 595603008.

The previous prime is 2111429191. The next prime is 2111429213. The reversal of 2111429208 is 8029241112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 81541 + ... + 104267.

It is an arithmetic number, because the mean of its divisors is an integer number (64774800).

Almost surely, 22111429208 is an apocalyptic number.

2111429208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111429208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109190400).

2111429208 is an abundant number, since it is smaller than the sum of its proper divisors (4106951592).

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

2111429208 is a wasteful number, since it uses less digits than its factorization.

2111429208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22829 (or 22818 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2111429208 is about 45950.2906193204. The cubic root of 2111429208 is about 1282.8981385706.

The spelling of 2111429208 in words is "two billion, one hundred eleven million, four hundred twenty-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 79 84 98 147 158 168 196 237 294 316 392 474 553 588 632 948 1106 1176 1659 1896 2212 3318 3871 4424 6636 7742 11613 13272 15484 22727 23226 30968 45454 46452 68181 90908 92904 136362 159089 181816 272724 318178 477267 545448 636356 954534 1113623 1272712 1795433 1909068 2227246 3340869 3590866 3818136 4454492 5386299 6681738 7181732 8908984 10772598 12568031 13363476 14363464 21545196 25136062 26726952 37704093 43090392 50272124 75408186 87976217 100544248 150816372 175952434 263928651 301632744 351904868 527857302 703809736 1055714604 2111429208