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2270300032 = 277111322947
BaseRepresentation
bin1000011101010010…
…0000011110000000
312212012222012011101
42013110200132000
514122144100112
61013140224144
7110155142350
oct20724403600
95765865141
102270300032
11a65586020
1253439b054
132a2476900
1417773ab60
15d44a6757
hex87520780

2270300032 has 384 divisors, whose sum is σ = 6450969600. Its totient is φ = 771563520.

The previous prime is 2270300027. The next prime is 2270300051. The reversal of 2270300032 is 2300030722.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2270299982 and 2270300009.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 48304233 + ... + 48304279.

It is an arithmetic number, because the mean of its divisors is an integer number (16799400).

Almost surely, 22270300032 is an apocalyptic number.

2270300032 is a gapful number since it is divisible by the number (22) 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 2270300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225484800).

2270300032 is an abundant number, since it is smaller than the sum of its proper divisors (4180669568).

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

2270300032 is a wasteful number, since it uses less digits than its factorization.

2270300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 2270300032 is about 47647.6655461734. The cubic root of 2270300032 is about 1314.2997292231.

Adding to 2270300032 its reverse (2300030722), we get a palindrome (4570330754).

The spelling of 2270300032 in words is "two billion, two hundred seventy million, three hundred thousand, thirty-two".