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2270078272 = 2674111779
BaseRepresentation
bin1000011101001110…
…1010010101000000
312212012112220222001
42013103222111000
514122120001042
61013131353344
7110153230000
oct20723522500
95765486861
102270078272
11a65444450
125342b2854
132a23c99a7
141776c0000
15d4460bb7
hex874ea540

2270078272 has 280 divisors, whose sum is σ = 6146962560. Its totient is φ = 821882880.

The previous prime is 2270078207. The next prime is 2270078287. The reversal of 2270078272 is 2728700722.

It is a super-2 number, since 2×22700782722 = 10306510722013011968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 28735129 + ... + 28735207.

Almost surely, 22270078272 is an apocalyptic number.

2270078272 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 2270078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073481280).

2270078272 is an abundant number, since it is smaller than the sum of its proper divisors (3876884288).

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

2270078272 is an equidigital number, since it uses as much as digits as its factorization.

2270078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 2270078272 is about 47645.3384078653. The cubic root of 2270078272 is about 1314.2569347915.

Adding to 2270078272 its reverse (2728700722), we get a palindrome (4998778994).

The spelling of 2270078272 in words is "two billion, two hundred seventy million, seventy-eight thousand, two hundred seventy-two".