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2154224040 = 233517951867
BaseRepresentation
bin1000000001100110…
…1101100110101000
312120010112220211120
42000121231212220
513402440132130
6553432255240
7104245413363
oct20031554650
95503486746
102154224040
11a06004451
12501541520
132843c4aa7
141661630da
15c91c8910
hex8066d9a8

2154224040 has 32 divisors (see below), whose sum is σ = 6462672480. Its totient is φ = 574459712.

The previous prime is 2154223987. The next prime is 2154224041. The reversal of 2154224040 is 404224512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2154224040.

It is not an unprimeable number, because it can be changed into a prime (2154224041) 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 7 ways as a sum of consecutive naturals, for example, 8975814 + ... + 8976053.

It is an arithmetic number, because the mean of its divisors is an integer number (201958515).

Almost surely, 22154224040 is an apocalyptic number.

2154224040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2154224040 is an abundant number, since it is smaller than the sum of its proper divisors (4308448440).

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

2154224040 is a wasteful number, since it uses less digits than its factorization.

2154224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17951881 (or 17951877 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2154224040 is about 46413.6191219775. The cubic root of 2154224040 is about 1291.5075698508.

Adding to 2154224040 its reverse (404224512), we get a palindrome (2558448552).

The spelling of 2154224040 in words is "two billion, one hundred fifty-four million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17951867 35903734 53855601 71807468 89759335 107711202 143614936 179518670 215422404 269278005 359037340 430844808 538556010 718074680 1077112020 2154224040