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2225441322 = 2321315162983
BaseRepresentation
bin1000010010100101…
…1000101000101010
312202002120010120200
42010221120220222
514024203110242
61004454533030
7106101640056
oct20451305052
95662503520
102225441322
11a42227005
12521367176
1329609b6b0
141717c0c66
15d059504c
hex84a58a2a

2225441322 has 48 divisors (see below), whose sum is σ = 5227168128. Its totient is φ = 680205600.

The previous prime is 2225441263. The next prime is 2225441357. The reversal of 2225441322 is 2231445222.

2225441322 is a `hidden beast` number, since 2 + 225 + 4 + 413 + 22 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3843 + ... + 66825.

It is an arithmetic number, because the mean of its divisors is an integer number (108899336).

Almost surely, 22225441322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225441322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613584064).

2225441322 is an abundant number, since it is smaller than the sum of its proper divisors (3001726806).

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

2225441322 is a wasteful number, since it uses less digits than its factorization.

2225441322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63155 (or 63152 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 2225441322 is about 47174.5834321831. The cubic root of 2225441322 is about 1305.5856938503.

Adding to 2225441322 its reverse (2231445222), we get a palindrome (4456886544).

The spelling of 2225441322 in words is "two billion, two hundred twenty-five million, four hundred forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 234 302 453 906 1359 1963 2718 3926 5889 11778 17667 35334 62983 125966 188949 377898 566847 818779 1133694 1637558 2456337 4912674 7369011 9510433 14738022 19020866 28531299 57062598 85593897 123635629 171187794 247271258 370906887 741813774 1112720661 2225441322