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146083212 = 2232112343373
BaseRepresentation
bin10001011010100…
…00110110001100
3101011212210111100
420231100312030
5244344130322
622255023100
73422454402
oct1055206614
9334783440
10146083212
1175507530
1240b0aa90
132435a192
1415589472
15cc58dac
hex8b50d8c

146083212 has 144 divisors (see below), whose sum is σ = 431278848. Its totient is φ = 41247360.

The previous prime is 146083181. The next prime is 146083219. The reversal of 146083212 is 212380641.

146083212 is a `hidden beast` number, since 14 + 608 + 32 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (146083219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391458 + ... + 391830.

It is an arithmetic number, because the mean of its divisors is an integer number (2994992).

Almost surely, 2146083212 is an apocalyptic number.

146083212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146083212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215639424).

146083212 is an abundant number, since it is smaller than the sum of its proper divisors (285195636).

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

146083212 is a wasteful number, since it uses less digits than its factorization.

146083212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 455 counting only the distinct ones).

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

The square root of 146083212 is about 12086.4888201661. The cubic root of 146083212 is about 526.6637613114.

The spelling of 146083212 in words is "one hundred forty-six million, eighty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 43 44 46 66 69 86 92 99 129 132 138 172 198 207 253 258 276 373 387 396 414 473 506 516 746 759 774 828 946 989 1012 1119 1419 1492 1518 1548 1892 1978 2238 2277 2838 2967 3036 3357 3956 4103 4257 4476 4554 5676 5934 6714 8206 8514 8579 8901 9108 10879 11868 12309 13428 16039 16412 17028 17158 17802 21758 24618 25737 32078 32637 34316 35604 36927 43516 48117 49236 51474 64156 65274 73854 77211 94369 96234 97911 102948 130548 144351 147708 154422 176429 188738 192468 195822 283107 288702 308844 352858 368897 377476 391644 529287 566214 577404 705716 737794 849321 1058574 1106691 1132428 1475588 1587861 1698642 2117148 2213382 3175722 3320073 3397284 4057867 4426764 6351444 6640146 8115734 12173601 13280292 16231468 24347202 36520803 48694404 73041606 146083212