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2190199242 = 2371123533889
BaseRepresentation
bin1000001010001011…
…1100100111001010
312122122020122112110
42002202330213022
513441142333432
61001155323150
7105163246350
oct20242744712
95578218473
102190199242
11a24346120
125115b04b6
1328b9ac6aa
1416ac497d0
15cc432dcc
hex828bc9ca

2190199242 has 128 divisors (see below), whose sum is σ = 5807738880. Its totient is φ = 533744640.

The previous prime is 2190199237. The next prime is 2190199279. The reversal of 2190199242 is 2429910912.

It is a self number, because there is not a number n which added to its sum of digits gives 2190199242.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561234 + ... + 565122.

It is an arithmetic number, because the mean of its divisors is an integer number (45372960).

Almost surely, 22190199242 is an apocalyptic number.

2190199242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190199242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903869440).

2190199242 is an abundant number, since it is smaller than the sum of its proper divisors (3617539638).

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

2190199242 is a wasteful number, since it uses less digits than its factorization.

2190199242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988.

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 2190199242 is about 46799.5645492562. The cubic root of 2190199242 is about 1298.6572411669.

The spelling of 2190199242 in words is "two billion, one hundred ninety million, one hundred ninety-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 53 66 69 77 106 138 154 159 161 231 253 318 322 371 462 483 506 583 742 759 966 1113 1166 1219 1518 1749 1771 2226 2438 3498 3542 3657 3889 4081 5313 7314 7778 8162 8533 10626 11667 12243 13409 17066 23334 24486 25599 26818 27223 40227 42779 51198 54446 80454 81669 85558 89447 93863 128337 163338 178894 187726 206117 256674 268341 281589 299453 412234 536682 563178 598906 618351 626129 898359 983917 1236702 1252258 1442819 1796718 1878387 1967834 2267287 2885638 2951751 3756774 4328457 4534574 4740691 5903502 6801861 6887419 8656914 9481382 13603722 13774838 14222073 15871009 20662257 28444146 31742018 33184837 41324514 47613027 52147601 66369674 95226054 99554511 104295202 156442803 199109022 312885606 365033207 730066414 1095099621 2190199242