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22135124550 = 235271117791427
BaseRepresentation
bin10100100111010110…
…110011001001000110
32010010122010211111210
4110213112303021012
5330313042441200
614100240312250
71412346311550
oct244726631106
963118124453
1022135124550
119429778770
124359012686
132119b43146
1410ddab64d0
15898420650
hex5275b3246

22135124550 has 384 divisors, whose sum is σ = 73435299840. Its totient is φ = 4271155200.

The previous prime is 22135124521. The next prime is 22135124573. The reversal of 22135124550 is 5542153122.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 191 ways as a sum of consecutive naturals, for example, 15510937 + ... + 15512363.

It is an arithmetic number, because the mean of its divisors is an integer number (191237760).

Almost surely, 222135124550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22135124550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36717649920).

22135124550 is an abundant number, since it is smaller than the sum of its proper divisors (51300175290).

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

22135124550 is a wasteful number, since it uses less digits than its factorization.

22135124550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 22135124550 its reverse (5542153122), we get a palindrome (27677277672).

It can be divided in two parts, 221 and 35124550, that added together give a triangular number (35124771 = T8381).

The spelling of 22135124550 in words is "twenty-two billion, one hundred thirty-five million, one hundred twenty-four thousand, five hundred fifty".