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74211228 = 2235713839
BaseRepresentation
bin1000110110001…
…01111110011100
312011122022200000
410123011332130
5122444224403
611210334300
71560533160
oct433057634
9164568600
1074211228
1138987aa3
1220a2a390
13124b4590
149bdaca0
1567ad7a3
hex46c5f9c

74211228 has 144 divisors (see below), whose sum is σ = 239715840. Its totient is φ = 19548864.

The previous prime is 74211227. The next prime is 74211253. The reversal of 74211228 is 82211247.

It is a super-2 number, since 2×742112282 = 11014612722535968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74211223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88033 + ... + 88871.

Almost surely, 274211228 is an apocalyptic number.

74211228 is a gapful number since it is divisible by the number (78) 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 74211228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119857920).

74211228 is an abundant number, since it is smaller than the sum of its proper divisors (165504612).

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

74211228 is a wasteful number, since it uses less digits than its factorization.

74211228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 864 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 74211228 is about 8614.5938964063. The cubic root of 74211228 is about 420.2327281610.

It can be divided in two parts, 7421 and 1228, that added together give a square (8649 = 932).

The spelling of 74211228 in words is "seventy-four million, two hundred eleven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 839 972 1053 1092 1134 1404 1638 1678 1701 2106 2268 2457 2517 3159 3276 3356 3402 4212 4914 5034 5873 6318 6804 7371 7551 9828 10068 10907 11746 12636 14742 15102 17619 21814 22113 22653 23492 29484 30204 32721 35238 43628 44226 45306 52857 65442 67959 70476 76349 88452 90612 98163 105714 130884 135918 152698 158571 196326 203877 211428 229047 271836 294489 305396 317142 392652 407754 458094 475713 588978 634284 687141 815508 883467 916188 951426 1177956 1374282 1427139 1766934 1902852 2061423 2650401 2748564 2854278 3533868 4122846 5300802 5708556 6184269 8245692 10601604 12368538 18552807 24737076 37105614 74211228