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214775316 = 2232719311447
BaseRepresentation
bin11001100110100…
…11011000010100
3112222010201100100
430303103120110
5414440302231
633151214100
75215363050
oct1463233024
9488121310
10214775316
11100264968
125bb17330
133565b5b2
142074ac60
1513cc71e6
hexccd3614

214775316 has 144 divisors (see below), whose sum is σ = 674652160. Its totient is φ = 56220480.

The previous prime is 214775299. The next prime is 214775321. The reversal of 214775316 is 613577412.

It is a happy number.

It is a super-2 number, since 2×2147753162 = 92256872725799712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 147705 + ... + 149151.

Almost surely, 2214775316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214775316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337326080).

214775316 is an abundant number, since it is smaller than the sum of its proper divisors (459876844).

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

214775316 is a wasteful number, since it uses less digits than its factorization.

214775316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1509 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 214775316 is about 14655.2146350710. The cubic root of 214775316 is about 598.8638834230.

The spelling of 214775316 in words is "two hundred fourteen million, seven hundred seventy-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 31 36 38 42 57 62 63 76 84 93 114 124 126 133 171 186 217 228 252 266 279 342 372 399 434 532 558 589 651 684 798 868 1116 1178 1197 1302 1447 1596 1767 1953 2356 2394 2604 2894 3534 3906 4123 4341 4788 5301 5788 7068 7812 8246 8682 10129 10602 12369 13023 16492 17364 20258 21204 24738 26046 27493 30387 37107 40516 44857 49476 52092 54986 60774 74214 82479 89714 91161 109972 121548 134571 148428 164958 179428 182322 192451 247437 269142 313999 329916 364644 384902 403713 494874 538284 577353 627998 769804 807426 852283 941997 989748 1154706 1255996 1614852 1704566 1732059 1883994 2309412 2556849 2825991 3409132 3464118 3767988 5113698 5651982 5965981 6928236 7670547 10227396 11303964 11931962 15341094 17897943 23863924 30682188 35795886 53693829 71591772 107387658 214775316