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196224420 = 223572312153
BaseRepresentation
bin10111011001000…
…10010110100100
3111200020020022010
423230202112210
5400213140140
631245434220
74601610600
oct1354422644
9450206263
10196224420
11a0844347
125586b970
1331864932
141c0bc500
1512360880
hexbb225a4

196224420 has 144 divisors (see below), whose sum is σ = 660054528. Its totient is φ = 43384320.

The previous prime is 196224403. The next prime is 196224433. The reversal of 196224420 is 24422691.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90064 + ... + 92216.

It is an arithmetic number, because the mean of its divisors is an integer number (4583712).

Almost surely, 2196224420 is an apocalyptic number.

196224420 is a gapful number since it is divisible by the number (10) 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 196224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330027264).

196224420 is an abundant number, since it is smaller than the sum of its proper divisors (463830108).

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

196224420 is a wasteful number, since it uses less digits than its factorization.

196224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 196224420 is about 14008.0127070188. The cubic root of 196224420 is about 581.1001907827.

It can be divided in two parts, 19622 and 4420, that added together give a palindrome (24042).

The spelling of 196224420 in words is "one hundred ninety-six million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 49 60 62 70 84 93 98 105 124 140 147 155 186 196 210 217 245 294 310 372 420 434 465 490 588 620 651 735 868 930 980 1085 1302 1470 1519 1860 2153 2170 2604 2940 3038 3255 4306 4340 4557 6076 6459 6510 7595 8612 9114 10765 12918 13020 15071 15190 18228 21530 22785 25836 30142 30380 32295 43060 45213 45570 60284 64590 66743 75355 90426 91140 105497 129180 133486 150710 180852 200229 210994 226065 266972 301420 316491 333715 400458 421988 452130 467201 527485 632982 667430 800916 904260 934402 1001145 1054970 1265964 1334860 1401603 1582455 1868804 2002290 2109940 2336005 2803206 3164910 3270407 4004580 4672010 5606412 6329820 6540814 7008015 9344020 9811221 13081628 14016030 16352035 19622442 28032060 32704070 39244884 49056105 65408140 98112210 196224420