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2235412480 = 2125731503
BaseRepresentation
bin1000010100111101…
…1011000000000000
312202210022201102211
42011033123000000
514034231144410
61005452351504
7106252456360
oct20517330000
95683281384
102235412480
11a47917534
12524775594
132981800a2
14172c589a0
15d13b468a
hex853db000

2235412480 has 208 divisors, whose sum is σ = 6341013504. Its totient is φ = 740229120.

The previous prime is 2235412477. The next prime is 2235412483. The reversal of 2235412480 is 842145322.

It is an interprime number because it is at equal distance from previous prime (2235412477) and next prime (2235412483).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235412483) 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 15 ways as a sum of consecutive naturals, for example, 4443909 + ... + 4444411.

Almost surely, 22235412480 is an apocalyptic number.

2235412480 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 2235412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170506752).

2235412480 is an abundant number, since it is smaller than the sum of its proper divisors (4105601024).

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

2235412480 is an equidigital number, since it uses as much as digits as its factorization.

2235412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2235412480 is about 47280.1488999347. The cubic root of 2235412480 is about 1307.5326944360.

The spelling of 2235412480 in words is "two billion, two hundred thirty-five million, four hundred twelve thousand, four hundred eighty".