Search a number
-
+
213797248 = 277376449
BaseRepresentation
bin11001011111001…
…00100110000000
3112220022000200121
430233210212000
5414213002443
633114230024
75204150410
oct1457444600
9486260617
10213797248
11aa757045
125b725314
13353a8362
1420574640
1513b824ed
hexcbe4980

213797248 has 64 divisors (see below), whose sum is σ = 500004000. Its totient is φ = 89137152.

The previous prime is 213797197. The next prime is 213797257. The reversal of 213797248 is 842797312.

It is a tau number, because it is divible by the number of its divisors (64).

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, 29928 + ... + 36376.

Almost surely, 2213797248 is an apocalyptic number.

213797248 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 213797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250002000).

213797248 is an abundant number, since it is smaller than the sum of its proper divisors (286206752).

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

213797248 is an equidigital number, since it uses as much as digits as its factorization.

213797248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507 (or 6495 counting only the distinct ones).

The product of its digits is 169344, while the sum is 43.

The square root of 213797248 is about 14621.8072754362. The cubic root of 213797248 is about 597.9534420862.

The spelling of 213797248 in words is "two hundred thirteen million, seven hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 896 1036 1184 2072 2368 4144 4736 6449 8288 12898 16576 25796 33152 45143 51592 90286 103184 180572 206368 238613 361144 412736 477226 722288 825472 954452 1444576 1670291 1908904 2889152 3340582 3817808 5778304 6681164 7635616 13362328 15271232 26724656 30542464 53449312 106898624 213797248