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227421009900 = 2232527241731723
BaseRepresentation
bin1101001111001101011…
…0010011011111101100
3210202000100202022112200
43103303112103133230
512211224234304100
6252250433301500
722300463455200
oct3236326233754
9722010668480
10227421009900
11884a325a857
12380aaa04890
13185a42b9316
14b015bd6b00
155db096ce00
hex34f35937ec

227421009900 has 648 divisors, whose sum is σ = 861581199024. Its totient is φ = 49990348800.

The previous prime is 227421009899. The next prime is 227421009923. The reversal of 227421009900 is 9900124722.

227421009900 is a `hidden beast` number, since 227 + 421 + 0 + 0 + 9 + 9 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 131990439 + ... + 131992161.

Almost surely, 2227421009900 is an apocalyptic number.

227421009900 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 227421009900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430790599512).

227421009900 is an abundant number, since it is smaller than the sum of its proper divisors (634160189124).

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

227421009900 is a wasteful number, since it uses less digits than its factorization.

227421009900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 227421009900 in words is "two hundred twenty-seven billion, four hundred twenty-one million, nine thousand, nine hundred".