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2266730000 = 2454832731
BaseRepresentation
bin1000011100011011…
…1000111000010000
312211222020210222222
42013012320320100
514120240330000
61012531520212
7110112613163
oct20706707020
95758223888
102266730000
11a63567887
12533159068
132a17c6972
1417708bada
15d3eeda85
hex871b8e10

2266730000 has 100 divisors (see below), whose sum is σ = 5556133968. Its totient is φ = 895440000.

The previous prime is 2266729999. The next prime is 2266730029. The reversal of 2266730000 is 376622.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 828635 + ... + 831365.

Almost surely, 22266730000 is an apocalyptic number.

2266730000 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 2266730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778066984).

2266730000 is an abundant number, since it is smaller than the sum of its proper divisors (3289403968).

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

2266730000 is an equidigital number, since it uses as much as digits as its factorization.

2266730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 2266730000 is about 47610.1879853462. The cubic root of 2266730000 is about 1313.6104585535.

The spelling of 2266730000 in words is "two billion, two hundred sixty-six million, seven hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 625 664 830 1000 1250 1328 1660 2000 2075 2500 2731 3320 4150 5000 5462 6640 8300 10000 10375 10924 13655 16600 20750 21848 27310 33200 41500 43696 51875 54620 68275 83000 103750 109240 136550 166000 207500 218480 226673 273100 341375 415000 453346 546200 682750 830000 906692 1092400 1133365 1365500 1706875 1813384 2266730 2731000 3413750 3626768 4533460 5462000 5666825 6827500 9066920 11333650 13655000 18133840 22667300 27310000 28334125 45334600 56668250 90669200 113336500 141670625 226673000 283341250 453346000 566682500 1133365000 2266730000