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227378056320 = 27325612113067
BaseRepresentation
bin1101001111000011001…
…0011100110010000000
3210201220100221001022100
43103300302130302000
512211132240300240
6252242300510400
722266432406122
oct3236062346200
9721810831270
10227378056320
1188480a92128
123809854b400
131859842a2bc
14b010215212
155dabcd5e30
hex34f0c9cc80

227378056320 has 384 divisors, whose sum is σ = 802080002880. Its totient is φ = 59338137600.

The previous prime is 227378056313. The next prime is 227378056331. The reversal of 227378056320 is 23650873722.

227378056320 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 7 + 8 + 0 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2273780563202 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74135427 + ... + 74138493.

Almost surely, 2227378056320 is an apocalyptic number.

227378056320 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 227378056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401040001440).

227378056320 is an abundant number, since it is smaller than the sum of its proper divisors (574701946560).

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

227378056320 is a wasteful number, since it uses less digits than its factorization.

227378056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 227378056320 in words is "two hundred twenty-seven billion, three hundred seventy-eight million, fifty-six thousand, three hundred twenty".