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2225631114 = 233744313291
BaseRepresentation
bin1000010010101000…
…0110111110001010
312202002220202221000
42010222012332022
514024230143424
61004502555430
7106103360310
oct20452067612
95662822830
102225631114
11a42346663
12521438b76
13296136bb5
141718300b0
15d05d13c9
hex84a86f8a

2225631114 has 64 divisors (see below), whose sum is σ = 5665582080. Its totient is φ = 634411440.

The previous prime is 2225631113. The next prime is 2225631119. The reversal of 2225631114 is 4111365222.

2225631114 is a `hidden beast` number, since 2 + 2 + 25 + 631 + 1 + 1 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2225631113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160809 + ... + 174099.

It is an arithmetic number, because the mean of its divisors is an integer number (88524720).

Almost surely, 22225631114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225631114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832791040).

2225631114 is an abundant number, since it is smaller than the sum of its proper divisors (3439950966).

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

2225631114 is a wasteful number, since it uses less digits than its factorization.

2225631114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13752 (or 13746 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2225631114 is about 47176.5949809861. The cubic root of 2225631114 is about 1305.6228074891.

Adding to 2225631114 its reverse (4111365222), we get a palindrome (6336996336).

The spelling of 2225631114 in words is "two billion, two hundred twenty-five million, six hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 443 886 1329 2658 3101 3987 6202 7974 9303 11961 13291 18606 23922 26582 27909 39873 55818 79746 83727 93037 119619 167454 186074 239238 279111 358857 558222 717714 837333 1674666 2511999 5023998 5887913 11775826 17663739 35327478 41215391 52991217 82430782 105982434 123646173 158973651 247292346 317947302 370938519 741877038 1112815557 2225631114