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2190849416 = 2371910971877
BaseRepresentation
bin1000001010010101…
…1011010110001000
312122200110200101222
42002211123112020
513441324140131
61001221301212
7105201625040
oct20245332610
95580420358
102190849416
11a2474a658
12511864808
1328bb79602
1416ad78720
15cc51087b
hex8295b588

2190849416 has 64 divisors (see below), whose sum is σ = 4948905600. Its totient is φ = 888233472.

The previous prime is 2190849407. The next prime is 2190849421. The reversal of 2190849416 is 6149480912.

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 15 ways as a sum of consecutive naturals, for example, 1166270 + ... + 1168146.

It is an arithmetic number, because the mean of its divisors is an integer number (77326650).

Almost surely, 22190849416 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 2190849416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474452800).

2190849416 is an abundant number, since it is smaller than the sum of its proper divisors (2758056184).

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

2190849416 is a wasteful number, since it uses less digits than its factorization.

2190849416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 2190849416 is about 46806.5104018661. The cubic root of 2190849416 is about 1298.7857332267.

The spelling of 2190849416 in words is "two billion, one hundred ninety million, eight hundred forty-nine thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1097 1877 2194 3754 4388 7508 7679 8776 13139 15016 15358 20843 26278 30716 35663 41686 52556 61432 71326 83372 105112 142652 145901 166744 249641 285304 291802 499282 583604 998564 1167208 1997128 2059069 4118138 8236276 14413483 16472552 28826966 39122311 57653932 78244622 115307864 156489244 273856177 312978488 547712354 1095424708 2190849416