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4233011020 = 22577257
BaseRepresentation
bin1111110001001110…
…1001111101001100
3101221000011020110221
43330103221331030
532132122323040
61540012041124
7206620000000
oct37423517514
911830136427
104233011020
111882473917
129a17631a4
13525c96364
142c228a700
1519b95074a
hexfc4e9f4c

4233011020 has 96 divisors (see below), whose sum is σ = 10411228800. Its totient is φ = 1445670912.

The previous prime is 4233011009. The next prime is 4233011047. The reversal of 4233011020 is 201103324.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4233010985 and 4233011003.

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, 16470732 + ... + 16470988.

It is an arithmetic number, because the mean of its divisors is an integer number (108450300).

Almost surely, 24233011020 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 4233011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205614400).

4233011020 is an abundant number, since it is smaller than the sum of its proper divisors (6178217780).

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

4233011020 is an frugal number, since it uses more digits than its factorization.

4233011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4233011020 is about 65061.5940474870. The cubic root of 4233011020 is about 1617.6446771317.

Adding to 4233011020 its reverse (201103324), we get a palindrome (4434114344).

The spelling of 4233011020 in words is "four billion, two hundred thirty-three million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 257 343 490 514 686 980 1028 1285 1372 1715 1799 2401 2570 3430 3598 4802 5140 6860 7196 8995 9604 12005 12593 16807 17990 24010 25186 33614 35980 48020 50372 62965 67228 84035 88151 117649 125930 168070 176302 235298 251860 336140 352604 440755 470596 588245 617057 823543 881510 1176490 1234114 1647086 1763020 2352980 2468228 3085285 3294172 4117715 4319399 6170570 8235430 8638798 12341140 16470860 17277596 21596995 30235793 43193990 60471586 86387980 120943172 151178965 211650551 302357930 423301102 604715860 846602204 1058252755 2116505510 4233011020