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288680000202 = 232113673972697
BaseRepresentation
bin1000011001101101010…
…10110011101011001010
31000121010121100110022100
410030312222303223022
514212204040001302
6340341234134230
726566521341436
oct4146652635312
91017117313270
10288680000202
11101479374970
1247b46421376
13212b7823189
14dd879739c6
1577989aed1c
hex4336ab3aca

288680000202 has 48 divisors (see below), whose sum is σ = 684193940352. Its totient is φ = 87240404160.

The previous prime is 288680000197. The next prime is 288680000207. The reversal of 288680000202 is 202000086882.

It is an interprime number because it is at equal distance from previous prime (288680000197) and next prime (288680000207).

It is a super-2 number, since 2×2886800002022 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (288680000207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1913683 + ... + 2059014.

It is an arithmetic number, because the mean of its divisors is an integer number (14254040424).

Almost surely, 2288680000202 is an apocalyptic number.

288680000202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

288680000202 is an abundant number, since it is smaller than the sum of its proper divisors (395513940150).

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

288680000202 is a wasteful number, since it uses less digits than its factorization.

288680000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973083 (or 3973080 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 288680000202 in words is "two hundred eighty-eight billion, six hundred eighty million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 367 734 1101 2202 3303 4037 6606 8074 12111 24222 36333 72666 3972697 7945394 11918091 23836182 35754273 43699667 71508546 87399334 131099001 262198002 393297003 786594006 1457979799 2915959598 4373939397 8747878794 13121818191 16037777789 26243636382 32075555578 48113333367 96226666734 144340000101 288680000202