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2173931136 = 2734131272
BaseRepresentation
bin1000000110010011…
…1000111010000000
312121111122010220000
42001210320322000
513423011244021
6555414520000
7104605052436
oct20144707200
95544563800
102173931136
11a16144703
12508066000
13288504ab0
14168a12d56
15cacbcb26
hex81938e80

2173931136 has 240 divisors, whose sum is σ = 7022536290. Its totient is φ = 663634944.

The previous prime is 2173931107. The next prime is 2173931153. The reversal of 2173931136 is 6311393712.

It can be written as a sum of positive squares in only one way, i.e., 2090318400 + 83612736 = 45720^2 + 9144^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2173931136.

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 29 ways as a sum of consecutive naturals, for example, 17117505 + ... + 17117631.

Almost surely, 22173931136 is an apocalyptic number.

2173931136 is a gapful number since it is divisible by the number (26) 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 2173931136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511268145).

2173931136 is an abundant number, since it is smaller than the sum of its proper divisors (4848605154).

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

2173931136 is an equidigital number, since it uses as much as digits as its factorization.

2173931136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 145 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 2173931136 is about 46625.4344322924. The cubic root of 2173931136 is about 1295.4339091470.

The spelling of 2173931136 in words is "two billion, one hundred seventy-three million, nine hundred thirty-one thousand, one hundred thirty-six".