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2000243544 = 2331319383881
BaseRepresentation
bin111011100111001…
…0100101101011000
312011101210220022020
41313032110231120
513044030243134
6530252054440
7100365534555
oct16716245530
95141726266
102000243544
119370a3642
12479a64420
1325b531180
1414d91da2c
15ba90eb49
hex77394b58

2000243544 has 128 divisors (see below), whose sum is σ = 5689958400. Its totient is φ = 580884480.

The previous prime is 2000243543. The next prime is 2000243549. The reversal of 2000243544 is 4453420002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000243543) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2269984 + ... + 2270864.

It is an arithmetic number, because the mean of its divisors is an integer number (44452800).

Almost surely, 22000243544 is an apocalyptic number.

2000243544 is a gapful number since it is divisible by the number (24) 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 2000243544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844979200).

2000243544 is an abundant number, since it is smaller than the sum of its proper divisors (3689714856).

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

2000243544 is a wasteful number, since it uses less digits than its factorization.

2000243544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2000243544 is about 44724.0823718050. The cubic root of 2000243544 is about 1259.9721888545.

Adding to 2000243544 its reverse (4453420002), we get a palindrome (6453663546).

It can be divided in two parts, 20002 and 43544, that added together give a triangular number (63546 = T356).

The spelling of 2000243544 in words is "two billion, two hundred forty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 383 456 494 741 766 881 988 1149 1482 1532 1762 1976 2298 2643 2964 3064 3524 4596 4979 5286 5928 7048 7277 9192 9958 10572 11453 14554 14937 16739 19916 21144 21831 22906 29108 29874 33478 34359 39832 43662 45812 50217 58216 59748 66956 68718 87324 91624 94601 100434 119496 133912 137436 174648 189202 200868 217607 274872 283803 337423 378404 401736 435214 567606 652821 674846 756808 870428 1012269 1135212 1305642 1349692 1740856 2024538 2270424 2611284 2699384 4049076 4386499 5222568 6411037 8098152 8772998 12822074 13159497 17545996 19233111 25644148 26318994 35091992 38466222 51288296 52637988 76932444 83343481 105275976 153864888 166686962 250030443 333373924 500060886 666747848 1000121772 2000243544