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228139416 = 23343141277
BaseRepresentation
bin11011001100100…
…10000110011000
3120220021200110000
431212102012120
5431400430131
634345453000
75440103331
oct1546220630
9526250400
10228139416
1110786257a
12644a1160
133835a44b
1422429288
1515066ce6
hexd992198

228139416 has 160 divisors (see below), whose sum is σ = 678142080. Its totient is φ = 71539200.

The previous prime is 228139411. The next prime is 228139421. The reversal of 228139416 is 614931822.

228139416 is a `hidden beast` number, since 228 + 13 + 9 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (228139411) and next prime (228139421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228139411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 823470 + ... + 823746.

It is an arithmetic number, because the mean of its divisors is an integer number (4238388).

Almost surely, 2228139416 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 228139416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339071040).

228139416 is an abundant number, since it is smaller than the sum of its proper divisors (450002664).

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

228139416 is a wasteful number, since it uses less digits than its factorization.

228139416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 228139416 is about 15104.2846901136. The cubic root of 228139416 is about 611.0359678209.

The spelling of 228139416 in words is "two hundred twenty-eight million, one hundred thirty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 41 54 62 72 81 82 93 108 123 124 162 164 186 216 246 248 277 279 324 328 369 372 492 554 558 648 738 744 831 837 984 1107 1108 1116 1271 1476 1662 1674 2214 2216 2232 2493 2511 2542 2952 3321 3324 3348 3813 4428 4986 5022 5084 6642 6648 6696 7479 7626 8587 8856 9972 10044 10168 11357 11439 13284 14958 15252 17174 19944 20088 22437 22714 22878 25761 26568 29916 30504 34071 34317 34348 44874 45428 45756 51522 59832 68142 68634 68696 77283 89748 90856 91512 102213 102951 103044 136284 137268 154566 179496 204426 205902 206088 231849 272568 274536 306639 309132 352067 408852 411804 463698 613278 618264 695547 704134 817704 823608 919917 927396 1056201 1226556 1391094 1408268 1839834 1854792 2112402 2453112 2782188 2816536 3168603 3679668 4224804 5564376 6337206 7359336 8449608 9505809 12674412 19011618 25348824 28517427 38023236 57034854 76046472 114069708 228139416