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227661016 = 23112251937
BaseRepresentation
bin11011001000111…
…01010011011000
3120212101101012111
431210131103120
5431240123031
634331322104
75433041512
oct1544352330
9525341174
10227661016
11107566100
12642b0334
133822077b
1422342bb2
1514ec01b1
hexd91d4d8

227661016 has 48 divisors (see below), whose sum is σ = 471570120. Its totient is φ = 102960000.

The previous prime is 227661013. The next prime is 227661029. The reversal of 227661016 is 610166722.

It is a happy number.

227661016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227661013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242500 + ... + 243436.

Almost surely, 2227661016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227661016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235785060).

227661016 is an abundant number, since it is smaller than the sum of its proper divisors (243909104).

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

227661016 is a wasteful number, since it uses less digits than its factorization.

227661016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 227661016 is about 15088.4398133140. The cubic root of 227661016 is about 610.6085622483.

The spelling of 227661016 in words is "two hundred twenty-seven million, six hundred sixty-one thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 88 121 242 251 484 502 937 968 1004 1874 2008 2761 3748 5522 7496 10307 11044 20614 22088 30371 41228 60742 82456 113377 121484 226754 235187 242968 453508 470374 907016 940748 1881496 2587057 5174114 10348228 20696456 28457627 56915254 113830508 227661016