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2155122464 = 251153331349
BaseRepresentation
bin1000000001110100…
…1000111100100000
312120012020120020112
42000131020330200
513403202404324
6553503430452
7104256144605
oct20035107440
95505216215
102155122464
11a06568450
125018b5428
1328464a9c1
141663186ac
15c9304c0e
hex80748f20

2155122464 has 96 divisors (see below), whose sum is σ = 4743748800. Its totient is φ = 955468800.

The previous prime is 2155122421. The next prime is 2155122479. The reversal of 2155122464 is 4642215512.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2155122464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6174962 + ... + 6175310.

It is an arithmetic number, because the mean of its divisors is an integer number (49414050).

Almost surely, 22155122464 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 2155122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371874400).

2155122464 is an abundant number, since it is smaller than the sum of its proper divisors (2588626336).

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

2155122464 is a wasteful number, since it uses less digits than its factorization.

2155122464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 2155122464 is about 46423.2965654099. The cubic root of 2155122464 is about 1291.6870869464.

Adding to 2155122464 its reverse (4642215512), we get a palindrome (6797337976).

The spelling of 2155122464 in words is "two billion, one hundred fifty-five million, one hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 331 349 352 424 583 662 698 848 1166 1324 1396 1696 2332 2648 2792 3641 3839 4664 5296 5584 7282 7678 9328 10592 11168 14564 15356 17543 18497 18656 29128 30712 35086 36994 58256 61424 70172 73988 115519 116512 122848 140344 147976 192973 203467 231038 280688 295952 385946 406934 462076 561376 591904 771892 813868 924152 1270709 1543784 1627736 1848304 2541418 3087568 3255472 3696608 5082836 6122507 6175136 6510944 10165672 12245014 20331344 24490028 40662688 48980056 67347577 97960112 134695154 195920224 269390308 538780616 1077561232 2155122464