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1222042000 = 24531932159
BaseRepresentation
bin100100011010110…
…1110000110010000
310011011111011110211
41020311232012100
510000320321000
6321132333504
742166120444
oct11065560620
93134434424
101222042000
115778a1273
122a1314294
1316624119a
14b842a824
15724417ba
hex48d6e190

1222042000 has 80 divisors (see below), whose sum is σ = 3110515200. Its totient is φ = 463075200.

The previous prime is 1222041949. The next prime is 1222042027. The reversal of 1222042000 is 2402221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21921 + ... + 54079.

It is an arithmetic number, because the mean of its divisors is an integer number (38881440).

Almost surely, 21222042000 is an apocalyptic number.

1222042000 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 1222042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555257600).

1222042000 is an abundant number, since it is smaller than the sum of its proper divisors (1888473200).

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

1222042000 is a wasteful number, since it uses less digits than its factorization.

1222042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32201 (or 32185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1222042000 is about 34957.7173167814. The cubic root of 1222042000 is about 1069.1255556913.

Adding to 1222042000 its reverse (2402221), we get a palindrome (1224444221).

The spelling of 1222042000 in words is "one billion, two hundred twenty-two million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 32159 38000 64318 128636 160795 257272 321590 514544 611021 643180 803975 1222042 1286360 1607950 2444084 2572720 3055105 3215900 4019875 4888168 6110210 6431800 8039750 9776336 12220420 12863600 15275525 16079500 24440840 30551050 32159000 48881680 61102100 64318000 76377625 122204200 152755250 244408400 305510500 611021000 1222042000