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2000233272 = 233237434877
BaseRepresentation
bin111011100111001…
…0010001100111000
312011101210101012210
41313032102030320
513044024431042
6530251535120
7100365462612
oct16716221470
95141711183
102000233272
11937096954
12479a5a4a0
1325b5295ab
1414d919db2
15ba90ba9c
hex77392338

2000233272 has 64 divisors (see below), whose sum is σ = 5226094080. Its totient is φ = 636766592.

The previous prime is 2000233241. The next prime is 2000233273. The reversal of 2000233272 is 2723320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000233273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407698 + ... + 412574.

It is an arithmetic number, because the mean of its divisors is an integer number (81657720).

Almost surely, 22000233272 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 2000233272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613047040).

2000233272 is an abundant number, since it is smaller than the sum of its proper divisors (3225860808).

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

2000233272 is a wasteful number, since it uses less digits than its factorization.

2000233272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 2000233272 is about 44723.9675341980. The cubic root of 2000233272 is about 1259.9700320411.

Adding to 2000233272 its reverse (2723320002), we get a palindrome (4723553274).

The spelling of 2000233272 in words is "two billion, two hundred thirty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 743 1486 2229 2972 4458 4877 5944 8916 9754 14631 17089 17832 19508 29262 34178 39016 51267 58524 68356 102534 112171 117048 136712 205068 224342 336513 410136 448684 673026 897368 1346052 2692104 3623611 7247222 10870833 14494444 21741666 28988888 43483332 83343053 86966664 166686106 250029159 333372212 500058318 666744424 1000116636 2000233272