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229054900 = 225210721407
BaseRepresentation
bin11011010011100…
…01100110110100
3120222000012020211
431221301212310
5432114224100
634421235204
75450635354
oct1551614664
9528005224
10229054900
11108328378
1264862b04
13385bb059
14225c6b64
15151981ba
hexda719b4

229054900 has 36 divisors (see below), whose sum is σ = 501717888. Its totient is φ = 90761440.

The previous prime is 229054883. The next prime is 229054913. The reversal of 229054900 is 9450922.

It is a super-2 number, since 2×2290549002 = 104932294428020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4 + ... + 21403.

It is an arithmetic number, because the mean of its divisors is an integer number (13936608).

Almost surely, 2229054900 is an apocalyptic number.

229054900 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 229054900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250858944).

229054900 is an abundant number, since it is smaller than the sum of its proper divisors (272662988).

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

229054900 is a wasteful number, since it uses less digits than its factorization.

229054900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21528 (or 21521 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 229054900 is about 15134.5597887748. The cubic root of 229054900 is about 611.8522041900.

The spelling of 229054900 in words is "two hundred twenty-nine million, fifty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 5350 10700 21407 42814 85628 107035 214070 428140 535175 1070350 2140700 2290549 4581098 9162196 11452745 22905490 45810980 57263725 114527450 229054900