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442233420 = 223523213933
BaseRepresentation
bin11010010110111…
…111001001001100
31010211010210012120
4122112333021030
51401202432140
6111514332540
713646631156
oct3226771114
91124123176
10442233420
112076a1572
1210412a150
137080a8a5
1442a39ad6
1528c571d0
hex1a5bf24c

442233420 has 72 divisors (see below), whose sum is σ = 1294524336. Its totient is φ = 112793472.

The previous prime is 442233419. The next prime is 442233439. The reversal of 442233420 is 24332244.

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, 24774 + ... + 38706.

Almost surely, 2442233420 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 442233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647262168).

442233420 is an abundant number, since it is smaller than the sum of its proper divisors (852290916).

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

442233420 is a wasteful number, since it uses less digits than its factorization.

442233420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13991 (or 13966 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 442233420 is about 21029.3466374968. The cubic root of 442233420 is about 761.8752284324.

Adding to 442233420 its reverse (24332244), we get a palindrome (466565664).

The spelling of 442233420 in words is "four hundred forty-two million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 529 690 1058 1380 1587 2116 2645 3174 5290 6348 7935 10580 13933 15870 27866 31740 41799 55732 69665 83598 139330 167196 208995 278660 320459 417990 640918 835980 961377 1281836 1602295 1922754 3204590 3845508 4806885 6409180 7370557 9613770 14741114 19227540 22111671 29482228 36852785 44223342 73705570 88446684 110558355 147411140 221116710 442233420