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212192946 = 2367171223
BaseRepresentation
bin11001010010111…
…00111010110010
3112210021112000000
430221130322302
5413310133241
633020010430
75154416220
oct1451347262
9483245000
10212192946
11a9860779
125b090a16
1334c66074
1420277b10
1513966eb6
hexca5ceb2

212192946 has 112 divisors (see below), whose sum is σ = 577943424. Its totient is φ = 57013632.

The previous prime is 212192909. The next prime is 212192947. The reversal of 212192946 is 649291212.

It is a self number, because there is not a number n which added to its sum of digits gives 212192946.

It is not an unprimeable number, because it can be changed into a prime (212192947) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 172891 + ... + 174113.

Almost surely, 2212192946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212192946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288971712).

212192946 is an abundant number, since it is smaller than the sum of its proper divisors (365750478).

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

212192946 is a wasteful number, since it uses less digits than its factorization.

212192946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1252 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 212192946 is about 14566.8440645186. The cubic root of 212192946 is about 596.4540348356.

The spelling of 212192946 in words is "two hundred twelve million, one hundred ninety-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 729 918 1071 1134 1223 1377 1458 1701 2142 2446 2754 3213 3402 3669 4131 5103 6426 7338 8262 8561 9639 10206 11007 12393 17122 19278 20791 22014 24786 25683 28917 33021 41582 51366 57834 62373 66042 77049 86751 99063 124746 145537 154098 173502 187119 198126 231147 291074 297189 374238 436611 462294 561357 594378 693441 873222 891567 1122714 1309833 1386882 1684071 1783134 2080323 2619666 3368142 3929499 4160646 5052213 6240969 7858998 10104426 11788497 12481938 15156639 23576994 30313278 35365491 70730982 106096473 212192946