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214362018 = 23313477389
BaseRepresentation
bin11001100011011…
…10011110100010
3112221100201102000
430301232132202
5414334041033
633134304430
75212022103
oct1461563642
9487321360
10214362018
111000023a2
125b958116
1335545440
14206803aa
1513c44a13
hexcc6e7a2

214362018 has 128 divisors (see below), whose sum is σ = 537062400. Its totient is φ = 62954496.

The previous prime is 214361999. The next prime is 214362019. The reversal of 214362018 is 810263412.

214362018 is a `hidden beast` number, since 21 + 4 + 3 + 620 + 18 = 666.

It is a super-2 number, since 2×2143620182 = 91902149522064648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214361982 and 214362000.

It is not an unprimeable number, because it can be changed into a prime (214362019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2408518 + ... + 2408606.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 2214362018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214362018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268531200).

214362018 is an abundant number, since it is smaller than the sum of its proper divisors (322700382).

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

214362018 is a wasteful number, since it uses less digits than its factorization.

214362018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 214362018 is about 14641.1071302685. The cubic root of 214362018 is about 598.4795000547.

The spelling of 214362018 in words is "two hundred fourteen million, three hundred sixty-two thousand, eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 73 78 89 94 117 141 146 178 219 234 267 282 351 423 438 534 611 657 702 801 846 949 1157 1222 1269 1314 1602 1833 1898 1971 2314 2403 2538 2847 3431 3471 3666 3942 4183 4806 5499 5694 6497 6862 6942 8366 8541 10293 10413 10998 12549 12994 16497 17082 19491 20586 20826 25098 25623 30879 31239 32994 37647 38982 44603 51246 54379 58473 61758 62478 75294 84461 89206 92637 108758 112941 116946 133809 163137 168922 175419 185274 225882 253383 267618 305359 326274 350838 401427 489411 506766 610718 760149 802854 916077 978822 1204281 1468233 1520298 1832154 2280447 2408562 2748231 2936466 3969667 4560894 5496462 7939334 8244693 11909001 16489386 23818002 35727003 71454006 107181009 214362018