Search a number
-
+
2242430140 = 225378213691
BaseRepresentation
bin1000010110101000…
…1100010010111100
312210021112020212011
42011222030102330
514043030231030
61010303021004
7106366225126
oct20552142274
95707466764
102242430140
11a5087aa55
12526b9a764
13299769352
14173b64216
15d1cedb2a
hex85a8c4bc

2242430140 has 48 divisors (see below), whose sum is σ = 4843579104. Its totient is φ = 871430400.

The previous prime is 2242430129. The next prime is 2242430143. The reversal of 2242430140 is 410342422.

It is a happy number.

It is a super-3 number, since 3×22424301403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242430143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605695 + ... + 609385.

It is an arithmetic number, because the mean of its divisors is an integer number (100907898).

Almost surely, 22242430140 is an apocalyptic number.

2242430140 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 2242430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421789552).

2242430140 is an abundant number, since it is smaller than the sum of its proper divisors (2601148964).

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

2242430140 is a wasteful number, since it uses less digits than its factorization.

2242430140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2242430140 is about 47354.3043450118. The cubic root of 2242430140 is about 1308.8995167052.

Adding to 2242430140 its reverse (410342422), we get a palindrome (2652772562).

The spelling of 2242430140 in words is "two billion, two hundred forty-two million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 821 1642 3284 3691 4105 7382 8210 14764 16420 18455 30377 36910 60754 73820 121508 136567 151885 273134 303770 546268 607540 682835 1365670 2731340 3030311 6060622 12121244 15151555 30303110 60606220 112121507 224243014 448486028 560607535 1121215070 2242430140