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2002302144 = 263211330763
BaseRepresentation
bin111011101011000…
…1011010011000000
312011112200111011200
41313112023103000
513100042132034
6530404141200
7100422200403
oct16726132300
95145614150
102002302144
1193827a267
1247a697800
1325baa218b
1414dcd7d3a
15babb9a99
hex7758b4c0

2002302144 has 84 divisors (see below), whose sum is σ = 5790215496. Its totient is φ = 661506048.

The previous prime is 2002302139. The next prime is 2002302149. The reversal of 2002302144 is 4412032002.

It is an interprime number because it is at equal distance from previous prime (2002302139) and next prime (2002302149).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2002302149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49707 + ... + 80469.

Almost surely, 22002302144 is an apocalyptic number.

2002302144 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 2002302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895107748).

2002302144 is an abundant number, since it is smaller than the sum of its proper divisors (3787913352).

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

2002302144 is a wasteful number, since it uses less digits than its factorization.

2002302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30894 (or 30881 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2002302144 is about 44747.0908998563. The cubic root of 2002302144 is about 1260.4042844773.

Adding to 2002302144 its reverse (4412032002), we get a palindrome (6414334146).

The spelling of 2002302144 in words is "two billion, two million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 144 192 226 288 339 452 576 678 904 1017 1356 1808 2034 2712 3616 4068 5424 7232 8136 10848 16272 21696 30763 32544 61526 65088 92289 123052 184578 246104 276867 369156 492208 553734 738312 984416 1107468 1476624 1968832 2214936 2953248 3476219 4429872 5906496 6952438 8859744 10428657 13904876 17719488 20857314 27809752 31285971 41714628 55619504 62571942 83429256 111239008 125143884 166858512 222478016 250287768 333717024 500575536 667434048 1001151072 2002302144