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228117396 = 2231310314197
BaseRepresentation
bin11011001100011…
…00101110010100
3120220020120020110
431212030232110
5431344224041
634345203020
75436652203
oct1546145624
9526216213
10228117396
11107847a81
1264490470
1338350410
142242123a
1515060516
hexd98cb94

228117396 has 48 divisors (see below), whose sum is σ = 578824064. Its totient is φ = 69503616.

The previous prime is 228117371. The next prime is 228117397. The reversal of 228117396 is 693711822.

228117396 = T185 + T186 + ... + T1111.

228117396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228117397) 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, 8970 + ... + 23166.

Almost surely, 2228117396 is an apocalyptic number.

228117396 is a gapful number since it is divisible by the number (26) 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 228117396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289412032).

228117396 is an abundant number, since it is smaller than the sum of its proper divisors (350706668).

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

228117396 is a wasteful number, since it uses less digits than its factorization.

228117396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14320 (or 14318 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 228117396 is about 15103.5557402884. Note that the first 3 decimals coincide. The cubic root of 228117396 is about 611.0163081392.

The spelling of 228117396 in words is "two hundred twenty-eight million, one hundred seventeen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 206 309 412 618 1236 1339 2678 4017 5356 8034 14197 16068 28394 42591 56788 85182 170364 184561 369122 553683 738244 1107366 1462291 2214732 2924582 4386873 5849164 8773746 17547492 19009783 38019566 57029349 76039132 114058698 228117396