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2031214000 = 24531953453
BaseRepresentation
bin111100100010001…
…1101110110110000
312020120002100210011
41321010131312300
513124442322000
6533315544304
7101223014464
oct17104356660
95216070704
102031214000
11952627162
124882bb094
13264a85a9a
14153aa24a4
15bd4cb2ba
hex7911ddb0

2031214000 has 80 divisors (see below), whose sum is σ = 5170070880. Its totient is φ = 769708800.

The previous prime is 2031213979. The next prime is 2031214013. The reversal of 2031214000 is 4121302.

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

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, 11274 + ... + 64726.

It is an arithmetic number, because the mean of its divisors is an integer number (64625886).

Almost surely, 22031214000 is an apocalyptic number.

2031214000 is a gapful number since it is divisible by the number (20) 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 2031214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585035440).

2031214000 is an abundant number, since it is smaller than the sum of its proper divisors (3138856880).

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

2031214000 is a wasteful number, since it uses less digits than its factorization.

2031214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53495 (or 53479 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2031214000 is about 45068.9915573890. The cubic root of 2031214000 is about 1266.4417729385.

Adding to 2031214000 its reverse (4121302), we get a palindrome (2035335302).

The spelling of 2031214000 in words is "two billion, thirty-one million, two hundred fourteen 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 38000 53453 106906 213812 267265 427624 534530 855248 1015607 1069060 1336325 2031214 2138120 2672650 4062428 4276240 5078035 5345300 6681625 8124856 10156070 10690600 13363250 16249712 20312140 21381200 25390175 26726500 40624280 50780350 53453000 81248560 101560700 106906000 126950875 203121400 253901750 406242800 507803500 1015607000 2031214000