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2155433040 = 2432523731783
BaseRepresentation
bin1000000001111001…
…0100110001010000
312120012211100021100
42000132110301100
513403242324130
6553514224400
7104261610225
oct20036246120
95505740240
102155433040
11a0675a822
12501a25100
13284729187
1416639994c
15c9366c60
hex80794c50

2155433040 has 240 divisors, whose sum is σ = 7661152512. Its totient is φ = 541956096.

The previous prime is 2155433029. The next prime is 2155433047. The reversal of 2155433040 is 403345512.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2155432995 and 2155433013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155433047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1207989 + ... + 1209771.

Almost surely, 22155433040 is an apocalyptic number.

2155433040 is a gapful number since it is divisible by the number (20) 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 2155433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830576256).

2155433040 is an abundant number, since it is smaller than the sum of its proper divisors (5505719472).

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

2155433040 is a wasteful number, since it uses less digits than its factorization.

2155433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2155433040 is about 46426.6414895586. The cubic root of 2155433040 is about 1291.7491325682.

Adding to 2155433040 its reverse (403345512), we get a palindrome (2558778552).

The spelling of 2155433040 in words is "two billion, one hundred fifty-five million, four hundred thirty-three thousand, forty".