Search a number
-
+
229902484032 = 2634132397661
BaseRepresentation
bin1101011000011101000…
…0011000001001000000
3210222102022002021010000
43112013100120021000
512231320013442112
6253341000040000
722416124604514
oct3260720301100
9728368067100
10229902484032
1189556a60021
1238681a63000
13188ab430300
14b1ad5c4144
155ea87397dc
hex3587418240

229902484032 has 420 divisors, whose sum is σ = 740936931636. Its totient is φ = 70454292480.

The previous prime is 229902483973. The next prime is 229902484043. The reversal of 229902484032 is 230484209922.

It can be written as a sum of positive squares in 6 ways, for example, as 4907843136 + 224994640896 = 70056^2 + 474336^2 .

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 59 ways as a sum of consecutive naturals, for example, 347809782 + ... + 347810442.

Almost surely, 2229902484032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229902484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370468465818).

229902484032 is an abundant number, since it is smaller than the sum of its proper divisors (511034447604).

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

229902484032 is a wasteful number, since it uses less digits than its factorization.

229902484032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 229902484032 in words is "two hundred twenty-nine billion, nine hundred two million, four hundred eighty-four thousand, thirty-two".