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2214125637200 = 24527970067267
BaseRepresentation
bin100000001110000100001…
…011000000111001010000
321211200001020000020212122
4200032010023000321100
5242234012130342300
64413053312313412
7315652045250561
oct40160413007120
97750036006778
102214125637200
11784007222314
122b9142242868
13130a39211149
14792429d0168
153c8db600c85
hex203842c0e50

2214125637200 has 60 divisors (see below), whose sum is σ = 5386771563840. Its totient is φ = 874439479680.

The previous prime is 2214125637109. The next prime is 2214125637203. The reversal of 2214125637200 is 27365214122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214125637203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 35002034 + ... + 35065233.

It is an arithmetic number, because the mean of its divisors is an integer number (89779526064).

Almost surely, 22214125637200 is an apocalyptic number.

2214125637200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214125637200 is an abundant number, since it is smaller than the sum of its proper divisors (3172645926640).

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

2214125637200 is a wasteful number, since it uses less digits than its factorization.

2214125637200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70067364 (or 70067353 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 2214125637200 in words is "two trillion, two hundred fourteen billion, one hundred twenty-five million, six hundred thirty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 158 200 316 395 400 632 790 1264 1580 1975 3160 3950 6320 7900 15800 31600 70067267 140134534 280269068 350336335 560538136 700672670 1121076272 1401345340 1751681675 2802690680 3503363350 5535314093 5605381360 7006726700 11070628186 14013453400 22141256372 27676570465 28026906800 44282512744 55353140930 88565025488 110706281860 138382852325 221412563720 276765704650 442825127440 553531409300 1107062818600 2214125637200