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1314422000 = 24531813631
BaseRepresentation
bin100111001011000…
…0111110011110000
310101121022120000022
41032112013303300
510142443001000
6334232343012
744400255053
oct11626076360
93347276008
101314422000
11614a58781
12308244a68
1317c4174c8
14c67d6a9a
157a5dd585
hex4e587cf0

1314422000 has 80 divisors (see below), whose sum is σ = 3196712064. Its totient is φ = 522720000.

The previous prime is 1314421973. The next prime is 1314422047. The reversal of 1314422000 is 2244131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1314422000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360185 + ... + 363815.

Almost surely, 21314422000 is an apocalyptic number.

1314422000 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 1314422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598356032).

1314422000 is an abundant number, since it is smaller than the sum of its proper divisors (1882290064).

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

1314422000 is a wasteful number, since it uses less digits than its factorization.

1314422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1314422000 is about 36254.9582815923. The cubic root of 1314422000 is about 1095.4139646767.

Adding to 1314422000 its reverse (2244131), we get a palindrome (1316666131).

The spelling of 1314422000 in words is "one billion, three hundred fourteen million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 181 200 250 362 400 500 724 905 1000 1448 1810 2000 2896 3620 3631 4525 7240 7262 9050 14480 14524 18100 18155 22625 29048 36200 36310 45250 58096 72400 72620 90500 90775 145240 181000 181550 290480 362000 363100 453875 657211 726200 907750 1314422 1452400 1815500 2628844 3286055 3631000 5257688 6572110 7262000 10515376 13144220 16430275 26288440 32860550 52576880 65721100 82151375 131442200 164302750 262884400 328605500 657211000 1314422000