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332023020 = 223572313643
BaseRepresentation
bin10011110010100…
…100010011101100
3212010202111221220
4103302210103230
51134444214040
652540223340
711141102100
oct2362442354
9763674856
10332023020
1116046689a
129323ab50
1353a30834
143214b900
151e2372d0
hex13ca44ec

332023020 has 144 divisors (see below), whose sum is σ = 1116638208. Its totient is φ = 73422720.

The previous prime is 332022997. The next prime is 332023079. The reversal of 332023020 is 20320233.

It is a super-2 number, since 2×3320230202 = 220478571619840800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89319 + ... + 92961.

It is an arithmetic number, because the mean of its divisors is an integer number (7754432).

Almost surely, 2332023020 is an apocalyptic number.

332023020 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 332023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558319104).

332023020 is an abundant number, since it is smaller than the sum of its proper divisors (784615188).

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

332023020 is a wasteful number, since it uses less digits than its factorization.

332023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 332023020 is about 18221.4988406552. The cubic root of 332023020 is about 692.4515607749.

Adding to 332023020 its reverse (20320233), we get a palindrome (352343253).

The spelling of 332023020 in words is "three hundred thirty-two million, twenty-three thousand, 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 2170 2604 2940 3038 3255 3643 4340 4557 6076 6510 7286 7595 9114 10929 13020 14572 15190 18215 18228 21858 22785 25501 30380 36430 43716 45570 51002 54645 72860 76503 91140 102004 109290 112933 127505 153006 178507 218580 225866 255010 306012 338799 357014 382515 451732 510020 535521 564665 677598 714028 765030 790531 892535 1071042 1129330 1355196 1530060 1581062 1693995 1785070 2142084 2258660 2371593 2677605 3162124 3387990 3570140 3952655 4743186 5355210 5533717 6775980 7905310 9486372 10710420 11067434 11857965 15810620 16601151 22134868 23715930 27668585 33202302 47431860 55337170 66404604 83005755 110674340 166011510 332023020