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2014801400 = 235224414127
BaseRepresentation
bin111100000010111…
…0110110111111000
312012102012111221002
41320011312313320
513111242121100
6531532104132
7100633346363
oct17005666770
95172174832
102014801400
11944337127
12482905048
1326155a4a1
1415182d0da
15bbd382d5
hex78176df8

2014801400 has 48 divisors (see below), whose sum is σ = 4687467840. Its totient is φ = 805395200.

The previous prime is 2014801381. The next prime is 2014801433. The reversal of 2014801400 is 41084102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486137 + ... + 490263.

It is an arithmetic number, because the mean of its divisors is an integer number (97655580).

Almost surely, 22014801400 is an apocalyptic number.

2014801400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014801400 is an abundant number, since it is smaller than the sum of its proper divisors (2672666440).

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

2014801400 is a wasteful number, since it uses less digits than its factorization.

2014801400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2014801400 is about 44886.5391849271. The cubic root of 2014801400 is about 1263.0215131325.

Adding to 2014801400 its reverse (41084102), we get a palindrome (2055885502).

The spelling of 2014801400 in words is "two billion, fourteen million, eight hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2441 4127 4882 8254 9764 12205 16508 19528 20635 24410 33016 41270 48820 61025 82540 97640 103175 122050 165080 206350 244100 412700 488200 825400 10074007 20148014 40296028 50370035 80592056 100740070 201480140 251850175 402960280 503700350 1007400700 2014801400