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212249808 = 243631587
BaseRepresentation
bin11001010011010…
…10110011010000
3112210101102000000
430221222303100
5413313443213
633021130000
75155044051
oct1451526320
9483342000
10212249808
11a989a471
125b0b9900
1334c85c04
1420290728
1513978c73
hexca6acd0

212249808 has 140 divisors (see below), whose sum is σ = 637542528. Its totient is φ = 68351040.

The previous prime is 212249771. The next prime is 212249813. The reversal of 212249808 is 808942212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 361291 + ... + 361877.

Almost surely, 2212249808 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 212249808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318771264).

212249808 is an abundant number, since it is smaller than the sum of its proper divisors (425292720).

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

212249808 is an equidigital number, since it uses as much as digits as its factorization.

212249808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 212249808 is about 14568.7956949090. The cubic root of 212249808 is about 596.5073079547.

The spelling of 212249808 in words is "two hundred twelve million, two hundred forty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 587 648 729 744 837 972 1116 1174 1296 1458 1488 1674 1761 1944 2232 2348 2511 2916 3348 3522 3888 4464 4696 5022 5283 5832 6696 7044 7533 9392 10044 10566 11664 13392 14088 15066 15849 18197 20088 21132 22599 28176 30132 31698 36394 40176 42264 45198 47547 54591 60264 63396 72788 84528 90396 95094 109182 120528 126792 142641 145576 163773 180792 190188 218364 253584 285282 291152 327546 361584 380376 427923 436728 491319 570564 655092 760752 855846 873456 982638 1141128 1310184 1473957 1711692 1965276 2282256 2620368 2947914 3423384 3930552 4421871 5895828 6846768 7861104 8843742 11791656 13265613 17687484 23583312 26531226 35374968 53062452 70749936 106124904 212249808