Search a number
-
+
229477000 = 23532941193
BaseRepresentation
bin11011010110110…
…00101010001000
3120222210122021011
431223120222020
5432221231000
634434253304
75454344104
oct1553305210
9528718234
10229477000
11108596515
1264a27234
133870820c
1422696904
151522d2ba
hexdad8a88

229477000 has 128 divisors (see below), whose sum is σ = 571989600. Its totient is φ = 86016000.

The previous prime is 229476991. The next prime is 229477013. The reversal of 229477000 is 774922.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 77053284 + 152423716 = 8778^2 + 12346^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188904 + ... + 1189096.

Almost surely, 2229477000 is an apocalyptic number.

229477000 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 229477000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285994800).

229477000 is an abundant number, since it is smaller than the sum of its proper divisors (342512600).

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

229477000 is a wasteful number, since it uses less digits than its factorization.

229477000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 229477000 is about 15148.4982754067. The cubic root of 229477000 is about 612.2278118663.

The spelling of 229477000 in words is "two hundred twenty-nine million, four hundred seventy-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 41 50 58 82 100 116 125 145 164 193 200 205 232 250 290 328 386 410 500 580 725 772 820 965 1000 1025 1160 1189 1450 1544 1640 1930 2050 2378 2900 3625 3860 4100 4756 4825 5125 5597 5800 5945 7250 7720 7913 8200 9512 9650 10250 11194 11890 14500 15826 19300 20500 22388 23780 24125 27985 29000 29725 31652 38600 39565 41000 44776 47560 48250 55970 59450 63304 79130 96500 111940 118900 139925 148625 158260 193000 197825 223880 229477 237800 279850 297250 316520 395650 458954 559700 594500 699625 791300 917908 989125 1119400 1147385 1189000 1399250 1582600 1835816 1978250 2294770 2798500 3956500 4589540 5597000 5736925 7913000 9179080 11473850 22947700 28684625 45895400 57369250 114738500 229477000