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214703148 = 223113171739
BaseRepresentation
bin11001100110000…
…01110000101100
3112222000001100110
430303001300230
5414431000043
633145500020
75214642462
oct1463016054
9488001313
10214703148
11100215720
125baa1610
13356347aa
142072c832
1513cb0b33
hexccc1c2c

214703148 has 96 divisors (see below), whose sum is σ = 572866560. Its totient is φ = 61992000.

The previous prime is 214703129. The next prime is 214703201. The reversal of 214703148 is 841307412.

It is a super-3 number, since 3×2147031483 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290163 + ... + 290901.

It is an arithmetic number, because the mean of its divisors is an integer number (5967360).

Almost surely, 2214703148 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 214703148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286433280).

214703148 is an abundant number, since it is smaller than the sum of its proper divisors (358163412).

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

214703148 is a wasteful number, since it uses less digits than its factorization.

214703148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 214703148 is about 14652.7522329425. The cubic root of 214703148 is about 598.7967999065.

The spelling of 214703148 in words is "two hundred fourteen million, seven hundred three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 71 93 124 132 142 186 213 284 341 372 426 682 739 781 852 1023 1364 1478 1562 2046 2201 2217 2343 2956 3124 4092 4402 4434 4686 6603 8129 8804 8868 9372 13206 16258 22909 24211 24387 26412 32516 45818 48422 48774 52469 68727 72633 91636 96844 97548 104938 137454 145266 157407 209876 251999 274908 290532 314814 503998 577159 629628 755997 1007996 1154318 1511994 1626539 1731477 2308636 3023988 3253078 3462954 4879617 6506156 6925908 9759234 17891929 19518468 35783858 53675787 71567716 107351574 214703148