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2246946075 = 345211149677
BaseRepresentation
bin1000010111101101…
…1010110100011011
312210121000200120000
42011323122310123
514100204233300
61010543504043
7106452504123
oct20573326433
95717020500
102246946075
11a53384930
125285b8023
1329a68a9ba
141745bbc83
15d23e1c00
hex85edad1b

2246946075 has 120 divisors (see below), whose sum is σ = 4577720400. Its totient is φ = 1080518400.

The previous prime is 2246946047. The next prime is 2246946193. The reversal of 2246946075 is 5706496422.

It is not a de Polignac number, because 2246946075 - 25 = 2246946043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2246946075.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3318637 + ... + 3319313.

It is an arithmetic number, because the mean of its divisors is an integer number (38147670).

Almost surely, 22246946075 is an apocalyptic number.

2246946075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2246946075 is an abundant number, since it is smaller than the sum of its proper divisors (2330774325).

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

2246946075 is a wasteful number, since it uses less digits than its factorization.

2246946075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2246946075 is about 47401.9627758176. The cubic root of 2246946075 is about 1309.7775732921. Note that the first 3 decimals are identical.

The spelling of 2246946075 in words is "two billion, two hundred forty-six million, nine hundred forty-six thousand, seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 149 165 225 275 297 405 447 495 675 677 745 825 891 1341 1485 1639 2025 2031 2235 2475 3385 3725 4023 4455 4917 6093 6705 7425 7447 8195 10155 11175 12069 14751 16925 18279 20115 22275 22341 24585 30465 33525 37235 40975 44253 50775 54837 60345 67023 73755 91395 100575 100873 111705 122925 132759 152325 186175 201069 221265 274185 301725 302619 335115 368775 456975 504365 558525 603207 663795 907857 1005345 1106325 1109603 1370925 1513095 1675575 2521825 2723571 3016035 3318975 3328809 4539285 5026725 5548015 7565475 8170713 9986427 13617855 15080175 16644045 22696425 27740075 29959281 40853565 49932135 68089275 83220225 89877843 149796405 204267825 249660675 449389215 748982025 2246946075