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2012014400 = 265211114319
BaseRepresentation
bin111011111101100…
…1110011101000000
312012012221220212212
41313323032131000
513110033430100
6531352241252
7100600561124
oct16773163500
95165856785
102012014400
11942803220
124819a0228
13260ac2a86
14151305584
15bb987635
hex77ece740

2012014400 has 84 divisors (see below), whose sum is σ = 5400934080. Its totient is φ = 731635200.

The previous prime is 2012014397. The next prime is 2012014409. The reversal of 2012014400 is 44102102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012014409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39560 + ... + 74759.

Almost surely, 22012014400 is an apocalyptic number.

2012014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012014400 is an abundant number, since it is smaller than the sum of its proper divisors (3388919680).

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

2012014400 is a wasteful number, since it uses less digits than its factorization.

2012014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114352 (or 114337 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2012014400 is about 44855.4834997907. The cubic root of 2012014400 is about 1262.4388808108.

Adding to 2012014400 its reverse (44102102), we get a palindrome (2056116502).

The spelling of 2012014400 in words is "two billion, twelve million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 114319 228638 457276 571595 914552 1143190 1257509 1829104 2286380 2515018 2857975 3658208 4572760 5030036 5715950 6287545 7316416 9145520 10060072 11431900 12575090 18291040 20120144 22863800 25150180 31437725 36582080 40240288 45727600 50300360 62875450 80480576 91455200 100600720 125750900 182910400 201201440 251501800 402402880 503003600 1006007200 2012014400