Search a number
-
+
228434661 = 34713171823
BaseRepresentation
bin11011001110110…
…10001011100101
3120220211200110000
431213122023211
5431434402121
634400051513
75442443160
oct1547321345
9526750400
10228434661
11107a44384
1264603b99
1338431950
14224a4ad7
15150c4526
hexd9da2e5

228434661 has 80 divisors (see below), whose sum is σ = 444939264. Its totient is φ = 113342976.

The previous prime is 228434659. The next prime is 228434677. The reversal of 228434661 is 166434822.

It is not a de Polignac number, because 228434661 - 21 = 228434659 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228434561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124396 + ... + 126218.

Almost surely, 2228434661 is an apocalyptic number.

228434661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

228434661 is a deficient number, since it is larger than the sum of its proper divisors (216504603).

228434661 is a wasteful number, since it uses less digits than its factorization.

228434661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1863 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 228434661 is about 15114.0550812811. The cubic root of 228434661 is about 611.2994434768.

Subtracting from 228434661 its sum of digits (36), we obtain a triangular number (228434625 = T21374).

The spelling of 228434661 in words is "two hundred twenty-eight million, four hundred thirty-four thousand, six hundred sixty-one".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 81 91 117 119 153 189 221 273 351 357 459 567 663 819 1053 1071 1377 1547 1823 1989 2457 3213 4641 5469 5967 7371 9639 12761 13923 16407 17901 23699 30991 38283 41769 49221 71097 92973 114849 125307 147663 165893 213291 216937 278919 344547 402883 497679 639873 650811 836757 1033641 1208649 1493037 1919619 1952433 2510271 2820181 3625947 4479111 5857299 8460543 10877841 13437333 17571897 25381629 32633523 76144887 228434661