Search a number
-
+
10228504392 = 23342921372
BaseRepresentation
bin10011000011010101…
…01001011101001000
3222101211201212020000
421201222221131020
5131421444120032
64410544203000
7511320565341
oct114152513510
928354655200
1010228504392
1143797a6817
121b95609460
13c70144a82
146d06450c8
153ece97e7c
hex261aa9748

10228504392 has 180 divisors, whose sum is σ = 29889414555. Its totient is φ = 3267903744.

The previous prime is 10228504369. The next prime is 10228504399. The reversal of 10228504392 is 29340582201.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 6252697476 + 3975806916 = 79074^2 + 63054^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71514.

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

It is not an unprimeable number, because it can be changed into a prime (10228504399) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 74660548 + ... + 74660684.

Almost surely, 210228504392 is an apocalyptic number.

10228504392 is a gapful number since it is divisible by the number (12) 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 10228504392

10228504392 is an abundant number, since it is smaller than the sum of its proper divisors (19660910163).

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

10228504392 is an equidigital number, since it uses as much as digits as its factorization.

10228504392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10228504392 in words is "ten billion, two hundred twenty-eight million, five hundred four thousand, three hundred ninety-two".