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2148522024 = 2331131725673
BaseRepresentation
bin1000000000001111…
…1101100000101000
312112201211020010210
42000003331200220
513400010201044
6553110141120
7104146064415
oct20003754050
95481736123
102148522024
11a0286a440
124bb6517a0
1328317960c
141654bb10c
15c894e1b9
hex800fd828

2148522024 has 64 divisors (see below), whose sum is σ = 5878319040. Its totient is φ = 648988160.

The previous prime is 2148521971. The next prime is 2148522049. The reversal of 2148522024 is 4202258412.

It is a super-2 number, since 2×21485220242 = 9232293775226113152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2148521982 and 2148522000.

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, 70852 + ... + 96524.

It is an arithmetic number, because the mean of its divisors is an integer number (91848735).

Almost surely, 22148522024 is an apocalyptic number.

2148522024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148522024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939159520).

2148522024 is an abundant number, since it is smaller than the sum of its proper divisors (3729797016).

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

2148522024 is a wasteful number, since it uses less digits than its factorization.

2148522024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26010 (or 26006 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 2148522024 is about 46352.1523124871. The cubic root of 2148522024 is about 1290.3670657848.

The spelling of 2148522024 in words is "two billion, one hundred forty-eight million, five hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 317 634 951 1268 1902 2536 3487 3804 6974 7608 10461 13948 20922 25673 27896 41844 51346 77019 83688 102692 154038 205384 282403 308076 564806 616152 847209 1129612 1694418 2259224 3388836 6777672 8138341 16276682 24415023 32553364 48830046 65106728 89521751 97660092 179043502 195320184 268565253 358087004 537130506 716174008 1074261012 2148522024