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2153221026 = 231141839587
BaseRepresentation
bin1000000001010111…
…1000101110100010
312120001122221221220
42000111320232202
513402211033101
6553354555510
7104234035215
oct20025705642
95501587856
102153221026
11a05489910
12501138b96
132841333a8
14165d8177c
15c907b636
hex80578ba2

2153221026 has 64 divisors (see below), whose sum is σ = 4871010816. Its totient is φ = 628841600.

The previous prime is 2153220959. The next prime is 2153221051. The reversal of 2153221026 is 6201223512.

It is a junction number, because it is equal to n+sod(n) for n = 2153220987 and 2153221005.

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 31 ways as a sum of consecutive naturals, for example, 219805 + ... + 229391.

It is an arithmetic number, because the mean of its divisors is an integer number (76109544).

Almost surely, 22153221026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153221026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435505408).

2153221026 is an abundant number, since it is smaller than the sum of its proper divisors (2717789790).

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

2153221026 is a wasteful number, since it uses less digits than its factorization.

2153221026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2153221026 is about 46402.8126949218. The cubic root of 2153221026 is about 1291.3070953026.

Adding to 2153221026 its reverse (6201223512), we get a palindrome (8354444538).

The spelling of 2153221026 in words is "two billion, one hundred fifty-three million, two hundred twenty-one thousand, twenty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 83 123 166 246 249 451 498 902 913 1353 1826 2706 2739 3403 5478 6806 9587 10209 19174 20418 28761 37433 57522 74866 105457 112299 210914 224598 316371 393067 632742 786134 795721 1179201 1591442 2358402 2387163 4323737 4774326 8647474 8752931 12971211 17505862 25942422 26258793 32624561 52517586 65249122 97873683 195747366 358870171 717740342 1076610513 2153221026