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197412228 = 22351317919
BaseRepresentation
bin10111100010001…
…00010110000100
3111202110120200000
423301010112010
5401014142403
631331121300
74614655566
oct1361042604
9452416600
10197412228
11a1485802
1256143230
1331b8c490
141c30b336
15124e77a3
hexbc44584

197412228 has 144 divisors (see below), whose sum is σ = 590728320. Its totient is φ = 57106944.

The previous prime is 197412181. The next prime is 197412283. The reversal of 197412228 is 822214791.

197412228 is a `hidden beast` number, since 19 + 7 + 412 + 228 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 197412192 and 197412201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214353 + ... + 215271.

It is an arithmetic number, because the mean of its divisors is an integer number (4102280).

Almost surely, 2197412228 is an apocalyptic number.

197412228 is a gapful number since it is divisible by the number (18) 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 197412228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295364160).

197412228 is an abundant number, since it is smaller than the sum of its proper divisors (393316092).

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

197412228 is a wasteful number, since it uses less digits than its factorization.

197412228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 954 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 197412228 is about 14050.3461879058. The cubic root of 197412228 is about 582.2703600937.

The spelling of 197412228 in words is "one hundred ninety-seven million, four hundred twelve thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 243 306 324 351 442 459 468 486 612 663 702 884 918 919 972 1053 1326 1377 1404 1836 1838 1989 2106 2652 2754 2757 3159 3676 3978 4131 4212 5508 5514 5967 6318 7956 8262 8271 11028 11934 11947 12636 15623 16524 16542 17901 23868 23894 24813 31246 33084 35802 35841 46869 47788 49626 53703 62492 71604 71682 74439 93738 99252 107406 107523 140607 143364 148878 187476 203099 214812 215046 223317 281214 297756 322569 406198 421821 430092 446634 562428 609297 645138 812396 843642 893268 967707 1218594 1265463 1290276 1687284 1827891 1935414 2437188 2530926 2903121 3655782 3796389 3870828 5061852 5483673 5806242 7311564 7592778 10967346 11612484 15185556 16451019 21934692 32902038 49353057 65804076 98706114 197412228