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44220420 = 22325475227
BaseRepresentation
bin1010100010110…
…0000000000100
310002012122000100
42220230000010
542310023140
64215444100
71044603336
oct250540004
9102178010
1044220420
1122a63502
1212986630
13921383a
145c31456
153d37530
hex2a2c004

44220420 has 72 divisors (see below), whose sum is σ = 137015424. Its totient is φ = 11539008.

The previous prime is 44220409. The next prime is 44220437. The reversal of 44220420 is 2402244.

44220420 is a `hidden beast` number, since 442 + 204 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44220393 and 44220402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5847 + ... + 11073.

It is an arithmetic number, because the mean of its divisors is an integer number (1902992).

Almost surely, 244220420 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 44220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68507712).

44220420 is an abundant number, since it is smaller than the sum of its proper divisors (92795004).

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

44220420 is a wasteful number, since it uses less digits than its factorization.

44220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 44220420 is about 6649.8436071836. The cubic root of 44220420 is about 353.6233665448.

Adding to 44220420 its reverse (2402244), we get a palindrome (46622664).

The spelling of 44220420 in words is "forty-four million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 5227 8460 10454 15681 20908 26135 31362 47043 52270 62724 78405 94086 104540 156810 188172 235215 245669 313620 470430 491338 737007 940860 982676 1228345 1474014 2211021 2456690 2948028 3685035 4422042 4913380 7370070 8844084 11055105 14740140 22110210 44220420