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2148657390 = 2325112170361
BaseRepresentation
bin1000000000010001…
…1110100011101110
312112202002002211100
42000010132203232
513400024014030
6553113103530
7104150200155
oct20004364356
95482062740
102148657390
11a02952110
124bb6b7ba6
132831c6109
1416551459c
15c8979360
hex8011e8ee

2148657390 has 48 divisors (see below), whose sum is σ = 6094376496. Its totient is φ = 520886400.

The previous prime is 2148657373. The next prime is 2148657397. The reversal of 2148657390 is 937568412.

2148657390 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21486573902 = 9233457159203224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

2148657390 is strictly pandigital in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148657397) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1084191 + ... + 1086170.

It is an arithmetic number, because the mean of its divisors is an integer number (126966177).

It is a 1-persistent number, because it is pandigital, but 2⋅2148657390 = 4297314780 is not.

Almost surely, 22148657390 is an apocalyptic number.

2148657390 is an abundant number, since it is smaller than the sum of its proper divisors (3945719106).

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

2148657390 is a wasteful number, since it uses less digits than its factorization.

2148657390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170385 (or 2170382 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2148657390 is about 46353.6124805824. The cubic root of 2148657390 is about 1290.3941647483.

The spelling of 2148657390 in words is "two billion, one hundred forty-eight million, six hundred fifty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2170361 4340722 6511083 10851805 13022166 19533249 21703610 23873971 32555415 39066498 47747942 65110830 71621913 97666245 119369855 143243826 195332490 214865739 238739710 358109565 429731478 716219130 1074328695 2148657390