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74003220 = 2235515227
BaseRepresentation
bin1000110100100…
…11001100010100
312011020202100000
410122103030110
5122421100340
611202051300
71556005554
oct432231424
9164222300
1074003220
1138855795
1220949b30
13124409b5
149b85164
15676bd30
hex4693314

74003220 has 72 divisors (see below), whose sum is σ = 232805664. Its totient is φ = 19732896.

The previous prime is 74003207. The next prime is 74003221. The reversal of 74003220 is 2230047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 74003193 and 74003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74003221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2754 + ... + 12473.

It is an arithmetic number, because the mean of its divisors is an integer number (3233412).

Almost surely, 274003220 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 74003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116402832).

74003220 is an abundant number, since it is smaller than the sum of its proper divisors (158802444).

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

74003220 is a wasteful number, since it uses less digits than its factorization.

74003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15251 (or 15237 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 74003220 is about 8602.5124237051. The cubic root of 74003220 is about 419.8397347715.

Adding to 74003220 its reverse (2230047), we get a palindrome (76233267).

The spelling of 74003220 in words is "seventy-four million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 15227 30454 45681 60908 76135 91362 137043 152270 182724 228405 274086 304540 411129 456810 548172 685215 822258 913620 1233387 1370430 1644516 2055645 2466774 2740860 3700161 4111290 4933548 6166935 7400322 8222580 12333870 14800644 18500805 24667740 37001610 74003220