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20212992 = 283231283
BaseRepresentation
bin100110100011…
…0110100000000
31102000221000100
41031012310000
520133303432
62001122400
7333544002
oct115066400
942027010
1020212992
1110456358
126929400
134259367
142982372
151b9407c
hex1346d00

20212992 has 108 divisors (see below), whose sum is σ = 60371584. Its totient is φ = 6497280.

The previous prime is 20212991. The next prime is 20213047. The reversal of 20212992 is 29921202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71283 + ... + 71565.

Almost surely, 220212992 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 20212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30185792).

20212992 is an abundant number, since it is smaller than the sum of its proper divisors (40158592).

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

20212992 is a wasteful number, since it uses less digits than its factorization.

20212992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20212992 is about 4495.8861195542. The cubic root of 20212992 is about 272.4019432285.

The spelling of 20212992 in words is "twenty million, two hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 283 288 372 384 496 558 566 576 744 768 849 992 1116 1132 1152 1488 1698 1984 2232 2264 2304 2547 2976 3396 3968 4464 4528 5094 5952 6792 7936 8773 8928 9056 10188 11904 13584 17546 17856 18112 20376 23808 26319 27168 35092 35712 36224 40752 52638 54336 70184 71424 72448 78957 81504 105276 108672 140368 157914 163008 210552 217344 280736 315828 326016 421104 561472 631656 652032 842208 1122944 1263312 1684416 2245888 2526624 3368832 5053248 6737664 10106496 20212992