Search a number
-
+
299352064200 = 2335272193159293
BaseRepresentation
bin1000101101100101100…
…01100000000011001000
31001121200100201110220220
410112302301200003020
514401033112023300
6345304225350040
730425136363600
oct4266261400310
91047610643826
10299352064200
11105a55488572
124a024498320
13222c881b347
14106bb07bc00
157bc0872da0
hex45b2c600c8

299352064200 has 1152 divisors, whose sum is σ = 1196923392000. Its totient is φ = 61457356800.

The previous prime is 299352064189. The next prime is 299352064211. The reversal of 299352064200 is 2460253992.

It is an interprime number because it is at equal distance from previous prime (299352064189) and next prime (299352064211).

It is a super-2 number, since 2×2993520642002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1021679254 + ... + 1021679546.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996000).

Almost surely, 2299352064200 is an apocalyptic number.

299352064200 is a gapful number since it is divisible by the number (20) 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 299352064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598461696000).

299352064200 is an abundant number, since it is smaller than the sum of its proper divisors (897571327800).

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

299352064200 is a wasteful number, since it uses less digits than its factorization.

299352064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 299352064200 in words is "two hundred ninety-nine billion, three hundred fifty-two million, sixty-four thousand, two hundred".