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22719445448 = 23722323312
BaseRepresentation
bin10101001010001011…
…110011100111001000
32011122100122102002112
4111022023303213020
5333012134223243
614234232321452
71433003046200
oct251213634710
964570572075
1022719445448
1196a95976a7
1244a0843288
1321b0c0c25b
14115753b400
158ce892818
hex54a2f39c8

22719445448 has 108 divisors (see below), whose sum is σ = 51959058795. Its totient is φ = 9285423840.

The previous prime is 22719445433. The next prime is 22719445457. The reversal of 22719445448 is 84454491722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11359722724 + 11359722724 = 106582^2 + 106582^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106582.

It is a junction number, because it is equal to n+sod(n) for n = 22719445396 and 22719445405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68638643 + ... + 68638973.

Almost surely, 222719445448 is an apocalyptic number.

22719445448 is a gapful number since it is divisible by the number (28) 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 22719445448

22719445448 is an abundant number, since it is smaller than the sum of its proper divisors (29239613347).

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

22719445448 is an equidigital number, since it uses as much as digits as its factorization.

22719445448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 363 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

Multiplying 22719445448 by its sum of digits (50), we get a square (1135972272400 = 10658202).

The spelling of 22719445448 in words is "twenty-two billion, seven hundred nineteen million, four hundred forty-five thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 331 392 529 644 662 1058 1127 1288 1324 2116 2254 2317 2648 3703 4232 4508 4634 7406 7613 9016 9268 14812 15226 16219 18536 25921 29624 30452 32438 51842 53291 60904 64876 103684 106582 109561 129752 175099 207368 213164 219122 350198 373037 426328 438244 700396 746074 766927 876488 1225693 1400792 1492148 1533854 2451386 2519903 2984296 3067708 4902772 5039806 5368489 6135416 8579851 9805544 10079612 10736978 17159702 17639321 20159224 21473956 34319404 35278642 42947912 57957769 68638808 70557284 115915538 123475247 141114568 231831076 246950494 405704383 463662152 493900988 811408766 987801976 1622817532 2839930681 3245635064 5679861362 11359722724 22719445448