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2822012136 = 233453127647
BaseRepresentation
bin1010100000110100…
…0111110011101000
321021200010001220000
42220031013303220
521234413342021
61144005303000
7126634464426
oct25015076350
97250101800
102822012136
111218a52539
12669104a60
1335c866488
141cab14116
15117b36b26
hexa8347ce8

2822012136 has 160 divisors (see below), whose sum is σ = 8129341440. Its totient is φ = 914239872.

The previous prime is 2822012131. The next prime is 2822012143. The reversal of 2822012136 is 6312102282.

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

It is not an unprimeable number, because it can be changed into a prime (2822012131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4361365 + ... + 4362011.

It is an arithmetic number, because the mean of its divisors is an integer number (50808384).

Almost surely, 22822012136 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 2822012136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064670720).

2822012136 is an abundant number, since it is smaller than the sum of its proper divisors (5307329304).

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

2822012136 is a wasteful number, since it uses less digits than its factorization.

2822012136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2822012136 is about 53122.6141676029. The cubic root of 2822012136 is about 1413.1435882588.

The spelling of 2822012136 in words is "two billion, eight hundred twenty-two million, twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 127 159 162 212 216 254 318 324 381 424 477 508 636 647 648 762 954 1016 1143 1272 1294 1431 1524 1908 1941 2286 2588 2862 3048 3429 3816 3882 4293 4572 5176 5724 5823 6731 6858 7764 8586 9144 10287 11448 11646 13462 13716 15528 17172 17469 20193 20574 23292 26924 27432 34291 34344 34938 40386 41148 46584 52407 53848 60579 68582 69876 80772 82169 82296 102873 104814 121158 137164 139752 161544 164338 181737 205746 209628 242316 246507 274328 308619 328676 363474 411492 419256 484632 493014 545211 617238 657352 726948 739521 822984 925857 986028 1090422 1234476 1453896 1479042 1851714 1972056 2180844 2218563 2468952 2777571 2958084 3703428 4354957 4361688 4437126 5555142 5916168 6655689 7406856 8709914 8874252 11110284 13064871 13311378 17419828 17748504 22220568 26129742 26622756 34839656 39194613 52259484 53245512 78389226 104518968 117583839 156778452 235167678 313556904 352751517 470335356 705503034 940670712 1411006068 2822012136