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2225341020 = 223579754623
BaseRepresentation
bin1000010010100100…
…0000001001011100
312202002101000222210
42010221000021130
514024141403040
61004452440420
7106101041460
oct20451001134
95662330883
102225341020
11a42168711
12521319110
13296064b46
141717964a0
15d0575480
hex84a4025c

2225341020 has 96 divisors (see below), whose sum is σ = 7194636288. Its totient is φ = 503396352.

The previous prime is 2225340989. The next prime is 2225341049. The reversal of 2225341020 is 201435222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13429 + ... + 68051.

It is an arithmetic number, because the mean of its divisors is an integer number (74944128).

Almost surely, 22225341020 is an apocalyptic number.

2225341020 is a gapful number since it is divisible by the number (20) 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 2225341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597318144).

2225341020 is an abundant number, since it is smaller than the sum of its proper divisors (4969295268).

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

2225341020 is a wasteful number, since it uses less digits than its factorization.

2225341020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54739 (or 54737 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2225341020 is about 47173.5203265561. The cubic root of 2225341020 is about 1305.5660790406.

Adding to 2225341020 its reverse (201435222), we get a palindrome (2426776242).

The spelling of 2225341020 in words is "two billion, two hundred twenty-five million, three hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 97 105 140 194 210 291 388 420 485 582 679 970 1164 1358 1455 1940 2037 2716 2910 3395 4074 5820 6790 8148 10185 13580 20370 40740 54623 109246 163869 218492 273115 327738 382361 546230 655476 764722 819345 1092460 1147083 1529444 1638690 1911805 2294166 3277380 3823610 4588332 5298431 5735415 7647220 10596862 11470830 15895293 21193724 22941660 26492155 31790586 37089017 52984310 63581172 74178034 79476465 105968620 111267051 148356068 158952930 185445085 222534102 317905860 370890170 445068204 556335255 741780340 1112670510 2225341020