Search a number
-
+
146612214 = 2337267827
BaseRepresentation
bin10001011110100…
…01111111110110
3101012212200011000
420233101333312
5300013042324
622314224130
73430116600
oct1057217766
9335780130
10146612214
1175838a21
1241125046
13244b3bb8
1415686170
15cd109c9
hex8bd1ff6

146612214 has 96 divisors (see below), whose sum is σ = 385119360. Its totient is φ = 41214096.

The previous prime is 146612209. The next prime is 146612239. The reversal of 146612214 is 412216641.

146612214 = T132 + T133 + ... + T958.

146612214 is a `hidden beast` number, since 1 + 46 + 612 + 2 + 1 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176869 + ... + 177695.

It is an arithmetic number, because the mean of its divisors is an integer number (4011660).

Almost surely, 2146612214 is an apocalyptic number.

146612214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146612214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192559680).

146612214 is an abundant number, since it is smaller than the sum of its proper divisors (238507146).

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

146612214 is a wasteful number, since it uses less digits than its factorization.

146612214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 906 counting only the distinct ones).

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

The square root of 146612214 is about 12108.3530672012. The cubic root of 146612214 is about 527.2987203289.

Adding to 146612214 its reverse (412216641), we get a palindrome (558828855).

The spelling of 146612214 in words is "one hundred forty-six million, six hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 67 98 126 134 147 189 201 294 378 402 441 469 603 827 882 938 1206 1323 1407 1654 1809 2481 2646 2814 3283 3618 4221 4962 5789 6566 7443 8442 9849 11578 12663 14886 17367 19698 22329 25326 29547 34734 40523 44658 52101 55409 59094 81046 88641 104202 110818 121569 156303 166227 177282 243138 312606 332454 364707 387863 498681 729414 775726 997362 1094121 1163589 1496043 2188242 2327178 2715041 2992086 3490767 5430082 6981534 8145123 10472301 16290246 20944602 24435369 48870738 73306107 146612214