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227664000000 = 21033561731
BaseRepresentation
bin1101010000000111010…
…1001111010000000000
3210202122021222111022000
43110001311033100000
512212223441000000
6252330513344000
722306504033143
oct3240165172000
9722567874260
10227664000000
1188608435918
1238158268000
1318612746148
14b03a1aa05a
155dc6e6a000
hex3501d4f400

227664000000 has 1232 divisors, whose sum is σ = 921138209280. Its totient is φ = 55296000000.

The previous prime is 227663999989. The next prime is 227664000149. The reversal of 227664000000 is 466722.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7343999985 + ... + 7344000015.

Almost surely, 2227664000000 is an apocalyptic number.

227664000000 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 227664000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460569104640).

227664000000 is an abundant number, since it is smaller than the sum of its proper divisors (693474209280).

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

227664000000 is an frugal number, since it uses more digits than its factorization.

227664000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 227664000000 its reverse (466722), we get a palindrome (227664466722).

The spelling of 227664000000 in words is "two hundred twenty-seven billion, six hundred sixty-four million", and thus it is an aban number.