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3422445224 = 23111967137223
BaseRepresentation
bin1100101111111110…
…0101111010101000
322211111221020020112
43023333211322220
524002121221344
61323334513452
7150545206262
oct31377457250
98744836215
103422445224
1114a6976830
127b6205888
13427084223
14246770b32
151506dcc9e
hexcbfe5ea8

3422445224 has 128 divisors (see below), whose sum is σ = 7567257600. Its totient is φ = 1434723840.

The previous prime is 3422445209. The next prime is 3422445227. The reversal of 3422445224 is 4225442243.

It is a super-2 number, since 2×34224452242 = 23426262622560820352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3422445227) 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, 15347177 + ... + 15347399.

It is an arithmetic number, because the mean of its divisors is an integer number (59119200).

Almost surely, 23422445224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422445224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783628800).

3422445224 is an abundant number, since it is smaller than the sum of its proper divisors (4144812376).

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

3422445224 is a wasteful number, since it uses less digits than its factorization.

3422445224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its digits is 61440, while the sum is 32.

The square root of 3422445224 is about 58501.6685574010. The cubic root of 3422445224 is about 1506.9962397606.

Adding to 3422445224 its reverse (4225442243), we get a palindrome (7647887467).

The spelling of 3422445224 in words is "three billion, four hundred twenty-two million, four hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 67 76 88 134 137 152 209 223 268 274 418 446 536 548 737 836 892 1096 1273 1474 1507 1672 1784 2453 2546 2603 2948 3014 4237 4906 5092 5206 5896 6028 8474 9179 9812 10184 10412 12056 14003 14941 16948 18358 19624 20824 28006 28633 29882 30551 33896 36716 46607 56012 57266 59764 61102 73432 93214 100969 112024 114532 119528 122204 164351 174401 186428 201938 229064 244408 283879 328702 336061 348802 372856 403876 567758 580469 657404 672122 697604 807752 1135516 1160938 1314808 1344244 1395208 1918411 2046917 2271032 2321876 2688488 3122669 3836822 4093834 4643752 6245338 6385159 7673644 8187668 12490676 12770318 15347288 16375336 22516087 24981352 25540636 38891423 45032174 51081272 77782846 90064348 155565692 180128696 311131384 427805653 855611306 1711222612 3422445224