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214150762200 = 23352356917937
BaseRepresentation
bin1100011101110001100…
…0010100111011011000
3202110202112102212221010
43013130120110323120
512002040043342300
6242213550013520
721320566305324
oct3073430247330
9673675385833
10214150762200
11829035822a1
12356067a72a0
131726ac35b4b
14a517600984
155885937a50
hex31dc614ed8

214150762200 has 48 divisors (see below), whose sum is σ = 663867364680. Its totient is φ = 57106869760.

The previous prime is 214150762187. The next prime is 214150762223. The reversal of 214150762200 is 2267051412.

214150762200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178458369 + ... + 178459568.

Almost surely, 2214150762200 is an apocalyptic number.

214150762200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214150762200 is an abundant number, since it is smaller than the sum of its proper divisors (449716602480).

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

214150762200 is a wasteful number, since it uses less digits than its factorization.

214150762200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356917956 (or 356917947 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 214150762200 in words is "two hundred fourteen billion, one hundred fifty million, seven hundred sixty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 356917937 713835874 1070753811 1427671748 1784589685 2141507622 2855343496 3569179370 4283015244 5353769055 7138358740 8566030488 8922948425 10707538110 14276717480 17845896850 21415076220 26768845275 35691793700 42830152440 53537690550 71383587400 107075381100 214150762200