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227688340 = 2251110110247
BaseRepresentation
bin11011001001000…
…11111110010100
3120212102202200111
431210203332110
5431242011330
634332052404
75433214255
oct1544437624
9525382614
10227688340
11107584690
1264304104
1338230039
142234cb2c
1514ec832a
hexd923f94

227688340 has 48 divisors (see below), whose sum is σ = 526829184. Its totient is φ = 81968000.

The previous prime is 227688323. The next prime is 227688341. The reversal of 227688340 is 43886722.

It is a junction number, because it is equal to n+sod(n) for n = 227688293 and 227688302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227688341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17097 + ... + 27343.

It is an arithmetic number, because the mean of its divisors is an integer number (10975608).

Almost surely, 2227688340 is an apocalyptic number.

227688340 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 227688340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263414592).

227688340 is an abundant number, since it is smaller than the sum of its proper divisors (299140844).

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

227688340 is a wasteful number, since it uses less digits than its factorization.

227688340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 227688340 is about 15089.3452475580. The cubic root of 227688340 is about 610.6329897959.

The spelling of 227688340 in words is "two hundred twenty-seven million, six hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 10247 11110 20494 22220 40988 51235 102470 112717 204940 225434 450868 563585 1034947 1127170 2069894 2254340 4139788 5174735 10349470 11384417 20698940 22768834 45537668 56922085 113844170 227688340