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42222000 = 2435331227
BaseRepresentation
bin1010000100010…
…0000110110000
32221110002200210
42201010012300
541302101000
64104544120
71021611132
oct241040660
987402623
1042222000
1121919017
1212182040
138994042
145871052
153a90350
hex28441b0

42222000 has 160 divisors (see below), whose sum is σ = 141133824. Its totient is φ = 10848000.

The previous prime is 42221989. The next prime is 42222023. The reversal of 42222000 is 22224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185887 + ... + 186113.

Almost surely, 242222000 is an apocalyptic number.

42222000 is a gapful number since it is divisible by the number (40) 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 42222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70566912).

42222000 is an abundant number, since it is smaller than the sum of its proper divisors (98911824).

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

42222000 is a wasteful number, since it uses less digits than its factorization.

42222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 42222000 is about 6497.8457968776. The cubic root of 42222000 is about 348.2140313702.

Adding to 42222000 its reverse (22224), we get a palindrome (42244224).

It can be divided in two parts, 422 and 22000, that added together give a palindrome (22422).

The spelling of 42222000 in words is "forty-two million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 227 240 248 250 300 310 372 375 400 454 465 496 500 600 620 681 744 750 775 908 930 1000 1135 1200 1240 1362 1488 1500 1550 1816 1860 2000 2270 2325 2480 2724 3000 3100 3405 3632 3720 3875 4540 4650 5448 5675 6000 6200 6810 7037 7440 7750 9080 9300 10896 11350 11625 12400 13620 14074 15500 17025 18160 18600 21111 22700 23250 27240 28148 28375 31000 34050 35185 37200 42222 45400 46500 54480 56296 56750 62000 68100 70370 84444 85125 90800 93000 105555 112592 113500 136200 140740 168888 170250 175925 186000 211110 227000 272400 281480 337776 340500 351850 422220 454000 527775 562960 681000 703700 844440 879625 1055550 1362000 1407400 1688880 1759250 2111100 2638875 2814800 3518500 4222200 5277750 7037000 8444400 10555500 14074000 21111000 42222000