Search a number
-
+
229098694440 = 23357211373401
BaseRepresentation
bin1101010101011101011…
…0001010011100101000
3210220100021121112002010
43111113112022130220
512223143231210230
6253125124035520
722360164525600
oct3252726123450
9726307545063
10229098694440
1189184271000
1238498832ba0
13187b0a51575
14b13494dc00
155e5cdb49b0
hex355758a728

229098694440 has 768 divisors, whose sum is σ = 893667997440. Its totient is φ = 46835712000.

The previous prime is 229098694439. The next prime is 229098694441. The reversal of 229098694440 is 44496890922.

229098694440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229098694439) and next prime (229098694441).

It is a super-2 number, since 2×2290986944402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (229098694441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 571318240 + ... + 571318640.

It is an arithmetic number, because the mean of its divisors is an integer number (1163630205).

Almost surely, 2229098694440 is an apocalyptic number.

229098694440 is a gapful number since it is divisible by the number (20) 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 229098694440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446833998720).

229098694440 is an abundant number, since it is smaller than the sum of its proper divisors (664569303000).

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

229098694440 is a wasteful number, since it uses less digits than its factorization.

229098694440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 229098694440 in words is "two hundred twenty-nine billion, ninety-eight million, six hundred ninety-four thousand, four hundred forty".