Search a number
-
+
22156721076 = 223710112132153
BaseRepresentation
bin10100101000101001…
…001011101110110100
32010012010210001101010
4110220221023232310
5330334110033301
614102331232220
71413031010310
oct245051135664
963163701333
1022156721076
11943a989536
1243642a8670
132121465159
1411028d8b40
1589a2895d6
hex528a4bbb4

22156721076 has 96 divisors (see below), whose sum is σ = 59746514688. Its totient is φ = 6259737600.

The previous prime is 22156721057. The next prime is 22156721099. The reversal of 22156721076 is 67012765122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10290016 + ... + 10292168.

It is an arithmetic number, because the mean of its divisors is an integer number (622359528).

Almost surely, 222156721076 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 22156721076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29873257344).

22156721076 is an abundant number, since it is smaller than the sum of its proper divisors (37589793612).

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

22156721076 is a wasteful number, since it uses less digits than its factorization.

22156721076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 22156721076 in words is "twenty-two billion, one hundred fifty-six million, seven hundred twenty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1213 1414 2121 2153 2426 2828 3639 4242 4306 4852 6459 7278 8484 8491 8612 12918 14556 15071 16982 25473 25836 30142 33964 45213 50946 60284 90426 101892 122513 180852 217453 245026 367539 434906 490052 652359 735078 857591 869812 1304718 1470156 1522171 1715182 2572773 2609436 2611589 3044342 3430364 4566513 5145546 5223178 6088684 7834767 9133026 10291092 10446356 15669534 18266052 18281123 31339068 36562246 54843369 73124492 109686738 219373476 263770489 527540978 791311467 1055081956 1582622934 1846393423 3165245868 3692786846 5539180269 7385573692 11078360538 22156721076