Search a number
-
+
2202192090 = 233577116411
BaseRepresentation
bin1000001101000010…
…1100100011011010
312200110210221122000
42003100230203122
514002230121330
61002304341430
7105400216050
oct20320544332
95613727560
102202192090
11a3009756a
12515614876
1329131b357
1416c68c1d0
15cd501560
hex8342c8da

2202192090 has 128 divisors (see below), whose sum is σ = 6806384640. Its totient is φ = 496238400.

The previous prime is 2202192089. The next prime is 2202192101. The reversal of 2202192090 is 902912022.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 125985 + ... + 142395.

It is an arithmetic number, because the mean of its divisors is an integer number (53174880).

Almost surely, 22202192090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202192090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403192320).

2202192090 is an abundant number, since it is smaller than the sum of its proper divisors (4604192550).

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

2202192090 is a wasteful number, since it uses less digits than its factorization.

2202192090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16505 (or 16499 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2202192090 is about 46927.5195381132. The cubic root of 2202192090 is about 1301.0232752010.

The spelling of 2202192090 in words is "two billion, two hundred two million, one hundred ninety-two thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 71 90 105 126 135 142 189 210 213 270 315 355 378 426 497 630 639 710 945 994 1065 1278 1491 1890 1917 2130 2485 2982 3195 3834 4473 4970 6390 7455 8946 9585 13419 14910 16411 19170 22365 26838 32822 44730 49233 67095 82055 98466 114877 134190 147699 164110 229754 246165 295398 344631 443097 492330 574385 689262 738495 886194 1033893 1148770 1165181 1476990 1723155 2067786 2215485 2330362 3101679 3446310 3495543 4430970 5169465 5825905 6203358 6991086 8156267 10338930 10486629 11651810 15508395 16312534 17477715 20973258 24468801 31016790 31459887 34955430 40781335 48937602 52433145 62919774 73406403 81562670 104866290 122344005 146812806 157299435 220219209 244688010 314598870 367032015 440438418 734064030 1101096045 2202192090