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2233140420 = 223579975333
BaseRepresentation
bin1000010100011011…
…0000010011000100
312202122001021202110
42011012300103010
514033140443140
61005331541020
7106224244320
oct20506602304
95678037673
102233140420
11a466054a5
12523a5a770
13297865b84
14172826980
15d10b6380
hex851b04c4

2233140420 has 96 divisors (see below), whose sum is σ = 7154558208. Its totient is φ = 509824512.

The previous prime is 2233140391. The next prime is 2233140431. The reversal of 2233140420 is 240413322.

It is a super-2 number, since 2×22331404202 = 9973832270875552800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 416074 + ... + 421406.

It is an arithmetic number, because the mean of its divisors is an integer number (74526648).

Almost surely, 22233140420 is an apocalyptic number.

2233140420 is a gapful number since it is divisible by the number (20) 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 2233140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577279104).

2233140420 is an abundant number, since it is smaller than the sum of its proper divisors (4921417788).

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

2233140420 is a wasteful number, since it uses less digits than its factorization.

2233140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2233140420 is about 47256.1151598394. The cubic root of 2233140420 is about 1307.0895547727.

Adding to 2233140420 its reverse (240413322), we get a palindrome (2473553742).

The spelling of 2233140420 in words is "two billion, two hundred thirty-three million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 997 1994 2991 3988 4985 5333 5982 6979 9970 10666 11964 13958 14955 15999 19940 20937 21332 26665 27916 29910 31998 34895 37331 41874 53330 59820 63996 69790 74662 79995 83748 104685 106660 111993 139580 149324 159990 186655 209370 223986 319980 373310 418740 447972 559965 746620 1119930 2239860 5317001 10634002 15951003 21268004 26585005 31902006 37219007 53170010 63804012 74438014 79755015 106340020 111657021 148876028 159510030 186095035 223314042 319020060 372190070 446628084 558285105 744380140 1116570210 2233140420