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214100320 = 2557191161
BaseRepresentation
bin11001100001011…
…10100101100000
3112220212102102111
430300232211200
5414302202240
633124525104
75206552120
oct1460564540
9486772374
10214100320
11aa943815
125b850794
13354832a5
1420612c80
1513be21ea
hexcc2e960

214100320 has 48 divisors (see below), whose sum is σ = 578073888. Its totient is φ = 73405440.

The previous prime is 214100317. The next prime is 214100347. The reversal of 214100320 is 23001412.

It is a self number, because there is not a number n which added to its sum of digits gives 214100320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94461 + ... + 96700.

It is an arithmetic number, because the mean of its divisors is an integer number (12043206).

Almost surely, 2214100320 is an apocalyptic number.

214100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214100320 is an abundant number, since it is smaller than the sum of its proper divisors (363973568).

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

214100320 is a wasteful number, since it uses less digits than its factorization.

214100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191183 (or 191175 counting only the distinct ones).

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

The square root of 214100320 is about 14632.1673035815. The cubic root of 214100320 is about 598.2358551087.

Adding to 214100320 its reverse (23001412), we get a palindrome (237101732).

The spelling of 214100320 in words is "two hundred fourteen million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 191161 382322 764644 955805 1338127 1529288 1911610 2676254 3058576 3823220 5352508 6117152 6690635 7646440 10705016 13381270 15292880 21410032 26762540 30585760 42820064 53525080 107050160 214100320