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2301199992 = 2332713227017
BaseRepresentation
bin1000100100101001…
…1000011001111000
312221101010001221100
42021022120121320
514203101344432
61020202411400
7111011606610
oct21112303170
95841101840
102301199992
11a80a70683
12542800b60
132a89a5400
1417b8a1a40
15d705c07c
hex89298678

2301199992 has 144 divisors (see below), whose sum is σ = 7713098640. Its totient is φ = 606887424.

The previous prime is 2301199987. The next prime is 2301199993. The reversal of 2301199992 is 2999911032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301199993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71668 + ... + 98684.

It is an arithmetic number, because the mean of its divisors is an integer number (53563185).

Almost surely, 22301199992 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 2301199992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856549320).

2301199992 is an abundant number, since it is smaller than the sum of its proper divisors (5411898648).

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

2301199992 is a wasteful number, since it uses less digits than its factorization.

2301199992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27062 (or 27042 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 2301199992 is about 47970.8243831602. The cubic root of 2301199992 is about 1320.2356466351.

The spelling of 2301199992 in words is "two billion, three hundred one million, one hundred ninety-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2184 2366 3042 3276 3549 4056 4732 6084 6552 7098 9464 10647 12168 14196 21294 27017 28392 42588 54034 81051 85176 108068 162102 189119 216136 243153 324204 351221 378238 486306 567357 648408 702442 756476 972612 1053663 1134714 1404884 1512952 1702071 1945224 2107326 2269428 2458547 2809768 3160989 3404142 4214652 4538856 4565873 4917094 6321978 6808284 7375641 8429304 9131746 9834188 12643956 13616568 13697619 14751282 18263492 19668376 22126923 25287912 27395238 29502564 31961111 36526984 41092857 44253846 54790476 59005128 63922222 82185714 88507692 95883333 109580952 127844444 164371428 177015384 191766666 255688888 287649999 328742856 383533332 575299998 767066664 1150599996 2301199992