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2000203212 = 223773794129
BaseRepresentation
bin111011100111000…
…1010110111001100
312011101201211222110
41313032022313030
513044023000322
6530251144020
7100365306150
oct16716126714
95141654873
102000203212
11937076307
12479a45010
1325b5189c7
1414d90d060
15ba902c0c
hex7738adcc

2000203212 has 96 divisors (see below), whose sum is σ = 5476710400. Its totient is φ = 556388352.

The previous prime is 2000203201. The next prime is 2000203213. The reversal of 2000203212 is 2123020002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2000203213) 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, 482364 + ... + 486492.

Almost surely, 22000203212 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 2000203212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738355200).

2000203212 is an abundant number, since it is smaller than the sum of its proper divisors (3476507188).

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

2000203212 is a wasteful number, since it uses less digits than its factorization.

2000203212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2000203212 is about 44723.6314715163. The cubic root of 2000203212 is about 1259.9637202958.

Adding to 2000203212 its reverse (2123020002), we get a palindrome (4123223214).

The spelling of 2000203212 in words is "two billion, two hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 79 84 146 158 219 237 292 316 438 474 511 553 876 948 1022 1106 1533 1659 2044 2212 3066 3318 4129 5767 6132 6636 8258 11534 12387 16516 17301 23068 24774 28903 34602 40369 49548 57806 69204 80738 86709 115612 121107 161476 173418 242214 301417 326191 346836 484428 602834 652382 904251 978573 1205668 1304764 1808502 1957146 2109919 2283337 3617004 3914292 4219838 4566674 6329757 6850011 8439676 9133348 12659514 13700022 23811943 25319028 27400044 47623886 71435829 95247772 142871658 166683601 285743316 333367202 500050803 666734404 1000101606 2000203212