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2245055010 = 23511192912347
BaseRepresentation
bin1000010111010000…
…1101001000100010
312210110110121111120
42011310031020202
514044213230020
61010435153110
7106430436612
oct20564151042
95713417446
102245055010
11a52303070
12527a45796
1329a178023
14174248a42
15d216b740
hex85d0d222

2245055010 has 128 divisors (see below), whose sum is σ = 6401203200. Its totient is φ = 497790720.

The previous prime is 2245054963. The next prime is 2245055011. The reversal of 2245055010 is 105505422.

It is a happy number.

It is a super-2 number, since 2×22450550102 = 10080543995852200200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2245055011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175657 + ... + 188003.

It is an arithmetic number, because the mean of its divisors is an integer number (50009400).

Almost surely, 22245055010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245055010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200601600).

2245055010 is an abundant number, since it is smaller than the sum of its proper divisors (4156148190).

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

2245055010 is a wasteful number, since it uses less digits than its factorization.

2245055010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12416.

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2245055010 is about 47382.0114600467. The cubic root of 2245055010 is about 1309.4100270571.

The spelling of 2245055010 in words is "two billion, two hundred forty-five million, fifty-five thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 29 30 33 38 55 57 58 66 87 95 110 114 145 165 174 190 209 285 290 319 330 418 435 551 570 627 638 870 957 1045 1102 1254 1595 1653 1914 2090 2755 3135 3190 3306 4785 5510 6061 6270 8265 9570 12122 12347 16530 18183 24694 30305 36366 37041 60610 61735 74082 90915 123470 135817 181830 185205 234593 271634 358063 370410 407451 469186 679085 703779 716126 814902 1074189 1172965 1358170 1407558 1790315 2037255 2148378 2345930 2580523 3518895 3580630 3938693 4074510 5161046 5370945 6803197 7037790 7741569 7877386 10741890 11816079 12902615 13606394 15483138 19693465 20409591 23632158 25805230 34015985 38707845 39386930 40819182 59080395 68031970 74835167 77415690 102047955 118160790 149670334 204095910 224505501 374175835 449011002 748351670 1122527505 2245055010