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211220992 = 29974253
BaseRepresentation
bin11001001011011…
…11101000000000
3112201110010201201
430211233220000
5413033032432
632543110544
75143230433
oct1445575000
9481403651
10211220992
11a9257504
125a8a2454
13349b5848
14200a381a
1513823ee7
hexc96fa00

211220992 has 40 divisors (see below), whose sum is σ = 426480516. Its totient is φ = 104497152.

The previous prime is 211220987. The next prime is 211220993. The reversal of 211220992 is 299022112.

It can be written as a sum of positive squares in 2 ways, for example, as 197796096 + 13424896 = 14064^2 + 3664^2 .

It is a super-2 number, since 2×2112209922 = 89228614922928128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211220992.

It is not an unprimeable number, because it can be changed into a prime (211220993) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47538 + ... + 51790.

Almost surely, 2211220992 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 211220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213240258).

211220992 is an abundant number, since it is smaller than the sum of its proper divisors (215259524).

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

211220992 is an frugal number, since it uses more digits than its factorization.

211220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 211220992 is about 14533.4439139524. The cubic root of 211220992 is about 595.5419509611.

It can be divided in two parts, 211220 and 992, that added together give a palindrome (212212).

The spelling of 211220992 in words is "two hundred eleven million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1552 3104 4253 6208 8506 12416 17012 24832 34024 49664 68048 136096 272192 412541 544384 825082 1088768 1650164 2177536 3300328 6600656 13201312 26402624 52805248 105610496 211220992