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212055216 = 24323401479
BaseRepresentation
bin11001010001110…
…11010010110000
3112210000112001220
430220323102300
5413241231331
633013025040
75153303532
oct1450732260
9483015056
10212055216
11a977724a
125b025180
1334c18479
142023d852
151393b296
hexca3b4b0

212055216 has 80 divisors (see below), whose sum is σ = 574248960. Its totient is φ = 67302400.

The previous prime is 212055209. The next prime is 212055241. The reversal of 212055216 is 612550212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442465 + ... + 442943.

It is an arithmetic number, because the mean of its divisors is an integer number (7178112).

Almost surely, 2212055216 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 212055216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287124480).

212055216 is an abundant number, since it is smaller than the sum of its proper divisors (362193744).

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

212055216 is a wasteful number, since it uses less digits than its factorization.

212055216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 212055216 is about 14562.1157803391. The cubic root of 212055216 is about 596.3249582945.

The spelling of 212055216 in words is "two hundred twelve million, fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 401 479 552 802 958 1104 1203 1437 1604 1916 2406 2874 3208 3832 4812 5748 6416 7664 9223 9624 11017 11496 18446 19248 22034 22992 27669 33051 36892 44068 55338 66102 73784 88136 110676 132204 147568 176272 192079 221352 264408 384158 442704 528816 576237 768316 1152474 1536632 2304948 3073264 4417817 4609896 8835634 9219792 13253451 17671268 26506902 35342536 53013804 70685072 106027608 212055216