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214793150 = 252112132731
BaseRepresentation
bin11001100110101…
…11101110111110
3112222011121210212
430303113232332
5414441340100
633151432422
75215466045
oct1463275676
9488147725
10214793150
11100277300
125bb25712
1335666750
142075355c
1513ccc635
hexccd7bbe

214793150 has 72 divisors (see below), whose sum is σ = 473089512. Its totient is φ = 72072000.

The previous prime is 214793143. The next prime is 214793197. The reversal of 214793150 is 51397412.

It is a super-2 number, since 2×2147931502 = 92272194573845000, which contains 22 as substring.

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 77285 + ... + 80015.

Almost surely, 2214793150 is an apocalyptic number.

214793150 is an abundant number, since it is smaller than the sum of its proper divisors (258296362).

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

214793150 is a wasteful number, since it uses less digits than its factorization.

214793150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 214793150 is about 14655.8230748055. The cubic root of 214793150 is about 598.8804586408.

The spelling of 214793150 in words is "two hundred fourteen million, seven hundred ninety-three thousand, one hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 50 55 65 110 121 130 143 242 275 286 325 550 605 650 715 1210 1430 1573 2731 3025 3146 3575 5462 6050 7150 7865 13655 15730 27310 30041 35503 39325 60082 68275 71006 78650 136550 150205 177515 300410 330451 355030 390533 660902 751025 781066 887575 1502050 1652255 1775150 1952665 3304510 3905330 4295863 8261275 8591726 9763325 16522550 19526650 21479315 42958630 107396575 214793150