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212097792 = 283277997
BaseRepresentation
bin11001010010001…
…01101100000000
3112210002200110210
430221011230000
5413244112132
633013554120
75153541624
oct1451055400
9483080423
10212097792
11a97a6235
125b045940
1334c3196a
1420251184
1513948bcc
hexca45b00

212097792 has 72 divisors (see below), whose sum is σ = 567095536. Its totient is φ = 70373376.

The previous prime is 212097773. The next prime is 212097811. The reversal of 212097792 is 297790212.

It is an interprime number because it is at equal distance from previous prime (212097773) and next prime (212097811).

It is a self number, because there is not a number n which added to its sum of digits gives 212097792.

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, 212238 + ... + 213234.

Almost surely, 2212097792 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 212097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283547768).

212097792 is an abundant number, since it is smaller than the sum of its proper divisors (354997744).

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

212097792 is an equidigital number, since it uses as much as digits as its factorization.

212097792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 212097792 is about 14563.5775824486. The cubic root of 212097792 is about 596.3648652472.

The spelling of 212097792 in words is "two hundred twelve million, ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 277 384 554 768 831 997 1108 1662 1994 2216 2991 3324 3988 4432 5982 6648 7976 8864 11964 13296 15952 17728 23928 26592 31904 35456 47856 53184 63808 70912 95712 106368 127616 191424 212736 255232 276169 382848 552338 765696 828507 1104676 1657014 2209352 3314028 4418704 6628056 8837408 13256112 17674816 26512224 35349632 53024448 70699264 106048896 212097792