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226484984400 = 24352188737487
BaseRepresentation
bin1101001011101110001…
…1101001101001010000
3210122121010110021221120
43102323203221221100
512202320124000100
6252013515122240
722235336413653
oct3227343515120
9718533407846
10226484984400
1188062961a64
1237a89443380
13184853bb18c
14ad6777d89a
155d586c70a0
hex34bb8e9a50

226484984400 has 60 divisors (see below), whose sum is σ = 725506903872. Its totient is φ = 60395995520.

The previous prime is 226484984389. The next prime is 226484984437. The reversal of 226484984400 is 4489484622.

226484984400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 94367544 + ... + 94369943.

Almost surely, 2226484984400 is an apocalyptic number.

226484984400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226484984400 is an abundant number, since it is smaller than the sum of its proper divisors (499021919472).

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

226484984400 is a wasteful number, since it uses less digits than its factorization.

226484984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188737508 (or 188737497 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 226484984400 in words is "two hundred twenty-six billion, four hundred eighty-four million, nine hundred eighty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 188737487 377474974 566212461 754949948 943687435 1132424922 1509899896 1887374870 2264849844 2831062305 3019799792 3774749740 4529699688 4718437175 5662124610 7549499480 9059399376 9436874350 11324249220 14155311525 15098998960 18873748700 22648498440 28310623050 37747497400 45296996880 56621246100 75494994800 113242492200 226484984400