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214882308 = 223447103137
BaseRepresentation
bin11001100111011…
…01100000000100
3112222100011010000
430303231200010
5420002213213
633153401300
75216320014
oct1463554004
9488304100
10214882308
11100328293
125bb69230
13356981c4
1420777c44
1513ce8c73
hexcced804

214882308 has 120 divisors (see below), whose sum is σ = 583494912. Its totient is φ = 68916096.

The previous prime is 214882303. The next prime is 214882319. The reversal of 214882308 is 803288412.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (214882303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1568416 + ... + 1568552.

Almost surely, 2214882308 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 214882308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291747456).

214882308 is an abundant number, since it is smaller than the sum of its proper divisors (368612604).

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

214882308 is a wasteful number, since it uses less digits than its factorization.

214882308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 214882308 is about 14658.8644853549. The cubic root of 214882308 is about 598.9633098207.

The spelling of 214882308 in words is "two hundred fourteen million, eight hundred eighty-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 103 108 137 141 162 188 206 274 282 309 324 411 412 423 548 564 618 822 846 927 1233 1236 1269 1644 1692 1854 2466 2538 2781 3699 3708 3807 4841 4932 5076 5562 6439 7398 7614 8343 9682 11097 11124 12878 14111 14523 14796 15228 16686 19317 19364 22194 25756 28222 29046 33372 38634 42333 43569 44388 56444 57951 58092 77268 84666 87138 115902 126999 130707 169332 173853 174276 231804 253998 261414 347706 380997 392121 507996 521559 522828 663217 695412 761994 784242 1043118 1142991 1326434 1523988 1568484 1989651 2086236 2285982 2652868 3979302 4571964 5968953 7958604 11937906 17906859 23875812 35813718 53720577 71627436 107441154 214882308