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42242220 = 22325331709
BaseRepresentation
bin1010000100100…
…1000010101100
32221111010102200
42201021002230
541303222340
64105221500
71022024106
oct241110254
987433380
1042242220
1121932229
1212191890
1389a02c7
145878576
153a96330
hex28490ac

42242220 has 72 divisors (see below), whose sum is σ = 128703120. Its totient is φ = 11214720.

The previous prime is 42242173. The next prime is 42242251. The reversal of 42242220 is 2224224.

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 = 42242193 and 42242202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59226 + ... + 59934.

Almost surely, 242242220 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 42242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64351560).

42242220 is an abundant number, since it is smaller than the sum of its proper divisors (86460900).

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

42242220 is a wasteful number, since it uses less digits than its factorization.

42242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1050 counting only the distinct ones).

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

The square root of 42242220 is about 6499.4015109085. The cubic root of 42242220 is about 348.2696087473.

Adding to 42242220 its reverse (2224224), we get a palindrome (44466444).

The spelling of 42242220 in words is "forty-two million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 331 662 709 993 1324 1418 1655 1986 2127 2836 2979 3310 3545 3972 4254 4965 5958 6381 6620 7090 8508 9930 10635 11916 12762 14180 14895 19860 21270 25524 29790 31905 42540 59580 63810 127620 234679 469358 704037 938716 1173395 1408074 2112111 2346790 2816148 3520185 4224222 4693580 7040370 8448444 10560555 14080740 21121110 42242220