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110422000 = 24531331137
BaseRepresentation
bin1101001010011…
…10011111110000
321200210000111201
412211032133300
5211232001000
614542420544
72510400013
oct645163760
9250700451
10110422000
115736a757
1230b91754
1319b52480
141094537a
159a6296a
hex694e7f0

110422000 has 160 divisors (see below), whose sum is σ = 298980864. Its totient is φ = 39168000.

The previous prime is 110421991. The next prime is 110422001. The reversal of 110422000 is 224011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110422001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805932 + ... + 806068.

Almost surely, 2110422000 is an apocalyptic number.

110422000 is a gapful number since it is divisible by the number (10) 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 110422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149490432).

110422000 is an abundant number, since it is smaller than the sum of its proper divisors (188558864).

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

110422000 is a wasteful number, since it uses less digits than its factorization.

110422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 110422000 is about 10508.1872842084. The cubic root of 110422000 is about 479.7539247954.

Adding to 110422000 its reverse (224011), we get a palindrome (110646011).

It can be divided in two parts, 1104 and 22000, that added together give a square (23104 = 1522).

The spelling of 110422000 in words is "one hundred ten million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 31 40 50 52 62 65 80 100 104 124 125 130 137 155 200 208 248 250 260 274 310 325 400 403 496 500 520 548 620 650 685 775 806 1000 1040 1096 1240 1300 1370 1550 1612 1625 1781 2000 2015 2192 2480 2600 2740 3100 3224 3250 3425 3562 3875 4030 4247 5200 5480 6200 6448 6500 6850 7124 7750 8060 8494 8905 10075 10960 12400 13000 13700 14248 15500 16120 16988 17125 17810 20150 21235 26000 27400 28496 31000 32240 33976 34250 35620 40300 42470 44525 50375 54800 55211 62000 67952 68500 71240 80600 84940 89050 100750 106175 110422 137000 142480 161200 169880 178100 201500 212350 220844 222625 274000 276055 339760 356200 403000 424700 441688 445250 530875 552110 712400 806000 849400 883376 890500 1061750 1104220 1380275 1698800 1781000 2123500 2208440 2760550 3562000 4247000 4416880 5521100 6901375 8494000 11042200 13802750 22084400 27605500 55211000 110422000