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228492472320 = 21235572937
BaseRepresentation
bin1101010011001100110…
…1100111000000000000
3210211210000220020200000
43110303031213000000
512220423033103240
6252545030400000
722336153653300
oct3246315470000
9724700806600
10228492472320
11889a3053392
1238349800000
1318715287858
14b0b8227600
155e24a68430
hex3533367000

228492472320 has 936 divisors, whose sum is σ = 956460973104. Its totient is φ = 52171112448.

The previous prime is 228492472309. The next prime is 228492472333. The reversal of 228492472320 is 23274294822.

228492472320 is a `hidden beast` number, since 2 + 2 + 84 + 9 + 247 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243854892 + ... + 243855828.

It is an arithmetic number, because the mean of its divisors is an integer number (1021860014).

Almost surely, 2228492472320 is an apocalyptic number.

228492472320 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 228492472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478230486552).

228492472320 is an abundant number, since it is smaller than the sum of its proper divisors (727968500784).

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

228492472320 is an frugal number, since it uses more digits than its factorization.

228492472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 228492472320 in words is "two hundred twenty-eight billion, four hundred ninety-two million, four hundred seventy-two thousand, three hundred twenty".