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214155500 = 22531347701
BaseRepresentation
bin11001100001111…
…00000011101100
3112220222020010012
430300330003230
5414310434000
633130032352
75210202026
oct1460740354
9486866105
10214155500
11aa981219
125b8786b8
13354a2440
1420629016
1513c03735
hexcc3c0ec

214155500 has 96 divisors (see below), whose sum is σ = 515144448. Its totient is φ = 77280000.

The previous prime is 214155499. The next prime is 214155559. The reversal of 214155500 is 5551412.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 305150 + ... + 305850.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088).

Almost surely, 2214155500 is an apocalyptic number.

214155500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214155500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257572224).

214155500 is an abundant number, since it is smaller than the sum of its proper divisors (300988948).

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

214155500 is a wasteful number, since it uses less digits than its factorization.

214155500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 214155500 is about 14634.0527537658. The cubic root of 214155500 is about 598.2872450661.

The spelling of 214155500 in words is "two hundred fourteen million, one hundred fifty-five thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 125 130 188 235 250 260 325 470 500 611 650 701 940 1175 1222 1300 1402 1625 2350 2444 2804 3055 3250 3505 4700 5875 6110 6500 7010 9113 11750 12220 14020 15275 17525 18226 23500 30550 32947 35050 36452 45565 61100 65894 70100 76375 87625 91130 131788 152750 164735 175250 182260 227825 305500 329470 350500 428311 455650 658940 823675 856622 911300 1139125 1647350 1713244 2141555 2278250 3294700 4118375 4283110 4556500 8236750 8566220 10707775 16473500 21415550 42831100 53538875 107077750 214155500