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212538368 = 2107149199
BaseRepresentation
bin11001010101100…
…01010000000000
3112210221001211102
430222301100000
5413402211433
633031233532
75160355250
oct1452612000
9483831742
10212538368
11a9a77249
125b2188a8
1335057363
1420327960
15139d44e8
hexcab1400

212538368 has 88 divisors (see below), whose sum is σ = 491280000. Its totient is φ = 90021888.

The previous prime is 212538343. The next prime is 212538407. The reversal of 212538368 is 863835212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1067933 + ... + 1068131.

Almost surely, 2212538368 is an apocalyptic number.

212538368 is a gapful number since it is divisible by the number (28) 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 212538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245640000).

212538368 is an abundant number, since it is smaller than the sum of its proper divisors (278741632).

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

212538368 is a wasteful number, since it uses less digits than its factorization.

212538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 212538368 is about 14578.6956892584. The cubic root of 212538368 is about 596.7775087538. Note that the first 3 decimals are identical.

The spelling of 212538368 in words is "two hundred twelve million, five hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 199 224 256 298 398 448 512 596 796 896 1024 1043 1192 1393 1592 1792 2086 2384 2786 3184 3584 4172 4768 5572 6368 7168 8344 9536 11144 12736 16688 19072 22288 25472 29651 33376 38144 44576 50944 59302 66752 76288 89152 101888 118604 133504 152576 178304 203776 207557 237208 267008 356608 415114 474416 534016 713216 830228 948832 1068032 1426432 1660456 1897664 3320912 3795328 6641824 7590656 13283648 15181312 26567296 30362624 53134592 106269184 212538368