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2028229632 = 21036111319
BaseRepresentation
bin111100011100100…
…0101010000000000
312020100110202000000
41320321011100000
513123211322012
6533132000000
7101155444632
oct17071052000
95210422000
102028229632
11950978a40
12487300000
1326427c5a0
14153526a52
15bd0dbddc
hex78e45400

2028229632 has 616 divisors, whose sum is σ = 7517566560. Its totient is φ = 537477120.

The previous prime is 2028229627. The next prime is 2028229657. The reversal of 2028229632 is 2369228202.

It is a super-2 number, since 2×20282296322 = 8227430880245710848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 106748919 + ... + 106748937.

Almost surely, 22028229632 is an apocalyptic number.

2028229632 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 2028229632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758783280).

2028229632 is an abundant number, since it is smaller than the sum of its proper divisors (5489336928).

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

2028229632 is a wasteful number, since it uses less digits than its factorization.

2028229632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2028229632 is about 45035.8705034109. The cubic root of 2028229632 is about 1265.8212276486.

The spelling of 2028229632 in words is "two billion, twenty-eight million, two hundred twenty-nine thousand, six hundred thirty-two".