Search a number
-
+
44220002244 = 223112227134161
BaseRepresentation
bin101001001011101101…
…111010111111000100
311020010202201212021220
4221023231322333010
51211030310032434
632151524040340
73123545550225
oct511355727704
9136122655256
1044220002244
1117832047200
1286a12330b0
134229442702
1421d6c2d24c
15123c217d49
hexa4bb7afc4

44220002244 has 72 divisors (see below), whose sum is σ = 113913197664. Its totient is φ = 13340870400.

The previous prime is 44220002219. The next prime is 44220002269.

44220002244 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44220002219) and next prime (44220002269).

It is a zygodrome in base 10.

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, 262524 + ... + 396684.

Almost surely, 244220002244 is an apocalyptic number.

44220002244 is a gapful number since it is divisible by the number (44) 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 44220002244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56956598832).

44220002244 is an abundant number, since it is smaller than the sum of its proper divisors (69693195420).

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

44220002244 is a wasteful number, since it uses less digits than its factorization.

44220002244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134417 (or 134404 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 4422000 and 2244, that added together give a palindrome (4424244).

The spelling of 44220002244 in words is "forty-four billion, two hundred twenty million, two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 227 242 363 454 484 681 726 908 1362 1452 2497 2724 4994 7491 9988 14982 27467 29964 54934 82401 109868 134161 164802 268322 329604 402483 536644 804966 1475771 1609932 2951542 4427313 5903084 8854626 16233481 17709252 30454547 32466962 48700443 60909094 64933924 91363641 97400886 121818188 182727282 194801772 335000017 365454564 670000034 1005000051 1340000068 2010000102 3685000187 4020000204 7370000374 11055000561 14740000748 22110001122 44220002244