Search a number
-
+
42224420 = 22571092767
BaseRepresentation
bin1010000100010…
…0101100100100
32221110020000102
42201010230210
541302140140
64105003232
71021621160
oct241045444
987406012
1042224420
112191a917
1212183518
138995184
145871ca0
153a90e15
hex2844b24

42224420 has 48 divisors (see below), whose sum is σ = 102305280. Its totient is φ = 14338944.

The previous prime is 42224419. The next prime is 42224423. The reversal of 42224420 is 2442224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42224392 and 42224401.

It is not an unprimeable number, because it can be changed into a prime (42224423) 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, 13877 + ... + 16643.

It is an arithmetic number, because the mean of its divisors is an integer number (2131360).

Almost surely, 242224420 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 42224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51152640).

42224420 is an abundant number, since it is smaller than the sum of its proper divisors (60080860).

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

42224420 is a wasteful number, since it uses less digits than its factorization.

42224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 42224420 is about 6498.0320097703. The cubic root of 42224420 is about 348.2206839988.

Adding to 42224420 its reverse (2442224), we get a palindrome (44666644).

It can be divided in two parts, 422 and 24420, that added together give a palindrome (24842).

The spelling of 42224420 in words is "forty-two million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 2767 3052 3815 5534 7630 11068 13835 15260 19369 27670 38738 55340 77476 96845 193690 301603 387380 603206 1206412 1508015 2111221 3016030 4222442 6032060 8444884 10556105 21112210 42224420