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3424223220 = 22351114713527
BaseRepresentation
bin1100110000011001…
…0111111111110100
322211122021120012020
43030012113333310
524003100120340
61323440553140
7150566263035
oct31406277764
98748246166
103424223220
1114a7980650
127b69227b0
134275575b2
14246ab4a8c
1515093e9d0
hexcc197ff4

3424223220 has 96 divisors (see below), whose sum is σ = 10469523456. Its totient is φ = 829315200.

The previous prime is 3424223213. The next prime is 3424223237. The reversal of 3424223220 is 223224243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969097 + ... + 972623.

It is an arithmetic number, because the mean of its divisors is an integer number (109057536).

Almost surely, 23424223220 is an apocalyptic number.

3424223220 is a gapful number since it is divisible by the number (30) 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 3424223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234761728).

3424223220 is an abundant number, since it is smaller than the sum of its proper divisors (7045300236).

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

3424223220 is a wasteful number, since it uses less digits than its factorization.

3424223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3424223220 is about 58516.8626978583. The cubic root of 3424223220 is about 1507.2571613383.

Adding to 3424223220 its reverse (223224243), we get a palindrome (3647447463).

The spelling of 3424223220 in words is "three billion, four hundred twenty-four million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1471 2942 3527 4413 5884 7054 7355 8826 10581 14108 14710 16181 17635 17652 21162 22065 29420 32362 35270 38797 42324 44130 48543 52905 64724 70540 77594 80905 88260 97086 105810 116391 155188 161810 193985 194172 211620 232782 242715 323620 387970 465564 485430 581955 775940 970860 1163910 2327820 5188217 10376434 15564651 20752868 25941085 31129302 51882170 57070387 62258604 77823255 103764340 114140774 155646510 171211161 228281548 285351935 311293020 342422322 570703870 684844644 856055805 1141407740 1712111610 3424223220