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2210048712 = 23348938321
BaseRepresentation
bin1000001110111010…
…1010101011001000
312201000121002220000
42003232222223020
514011233024322
61003145003000
7105524050464
oct20356525310
95630532800
102210048712
11a34573343
12518183460
13292b3c441
1416d7354a4
15ce0543ac
hex83baaac8

2210048712 has 80 divisors (see below), whose sum is σ = 6259898700. Its totient is φ = 728386560.

The previous prime is 2210048693. The next prime is 2210048723. The reversal of 2210048712 is 2178400122.

It can be written as a sum of positive squares in 2 ways, for example, as 2185188516 + 24860196 = 46746^2 + 4986^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38512 + ... + 76832.

Almost surely, 22210048712 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 2210048712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129949350).

2210048712 is an abundant number, since it is smaller than the sum of its proper divisors (4049849988).

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

2210048712 is a wasteful number, since it uses less digits than its factorization.

2210048712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38428 (or 38415 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2210048712 is about 47011.1551868277. The cubic root of 2210048712 is about 1302.5686318267.

Adding to 2210048712 its reverse (2178400122), we get a palindrome (4388448834).

The spelling of 2210048712 in words is "two billion, two hundred ten million, forty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 108 162 178 216 267 324 356 534 648 712 801 1068 1602 2136 2403 3204 4806 6408 7209 9612 14418 19224 28836 38321 57672 76642 114963 153284 229926 306568 344889 459852 689778 919704 1034667 1379556 2069334 2759112 3104001 3410569 4138668 6208002 6821138 8277336 10231707 12416004 13642276 20463414 24832008 27284552 30695121 40926828 61390242 81853656 92085363 122780484 184170726 245560968 276256089 368341452 552512178 736682904 1105024356 2210048712