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214748556 = 2231117831153
BaseRepresentation
bin11001100110011…
…00110110001100
3112222002100122020
430303030312030
5414433423211
633150450140
75215222041
oct1463146614
9488070566
10214748556
11100246850
125bb03950
133564c369
14207411c8
1513cbe306
hexccccd8c

214748556 has 96 divisors (see below), whose sum is σ = 586268928. Its totient is φ = 60456960.

The previous prime is 214748551. The next prime is 214748557. The reversal of 214748556 is 655847412.

It is a happy number.

214748556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147485562 = 92233884608170272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214748551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185676 + ... + 186828.

It is an arithmetic number, because the mean of its divisors is an integer number (6106968).

Almost surely, 2214748556 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 214748556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293134464).

214748556 is an abundant number, since it is smaller than the sum of its proper divisors (371520372).

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

214748556 is a wasteful number, since it uses less digits than its factorization.

214748556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1269 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 214748556 is about 14654.3016210258. The cubic root of 214748556 is about 598.8390105102.

The spelling of 214748556 in words is "two hundred fourteen million, seven hundred forty-eight thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 83 102 132 166 187 204 249 332 374 498 561 748 913 996 1122 1153 1411 1826 2244 2306 2739 2822 3459 3652 4233 4612 5478 5644 6918 8466 10956 12683 13836 15521 16932 19601 25366 31042 38049 39202 46563 50732 58803 62084 76098 78404 93126 95699 117606 152196 186252 191398 215611 235212 287097 382796 431222 574194 646833 862444 1052689 1148388 1293666 1626883 2105378 2587332 3158067 3253766 4210756 4880649 6316134 6507532 9761298 12632268 17895713 19522596 35791426 53687139 71582852 107374278 214748556