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213688832 = 297109547
BaseRepresentation
bin11001011110010…
…10001000000000
3112220002111222012
430233022020000
5414201020312
633112032052
75203216340
oct1457121000
9486074865
10213688832
11aa692645
125b692628
133536abc6
1420546d20
1513b60322
hexcbca200

213688832 has 80 divisors (see below), whose sum is σ = 493331520. Its totient is φ = 90574848.

The previous prime is 213688829. The next prime is 213688879. The reversal of 213688832 is 238886312.

It is a self number, because there is not a number n which added to its sum of digits gives 213688832.

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, 390383 + ... + 390929.

It is an arithmetic number, because the mean of its divisors is an integer number (6166644).

Almost surely, 2213688832 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 213688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246665760).

213688832 is an abundant number, since it is smaller than the sum of its proper divisors (279642688).

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

213688832 is an equidigital number, since it uses as much as digits as its factorization.

213688832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 213688832 is about 14618.0994660729. The cubic root of 213688832 is about 597.8523514780.

The spelling of 213688832 in words is "two hundred thirteen million, six hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 128 218 224 256 436 448 512 547 763 872 896 1094 1526 1744 1792 2188 3052 3488 3584 3829 4376 6104 6976 7658 8752 12208 13952 15316 17504 24416 27904 30632 35008 48832 55808 59623 61264 70016 97664 119246 122528 140032 195328 238492 245056 280064 390656 417361 476984 490112 834722 953968 980224 1669444 1907936 1960448 3338888 3815872 6677776 7631744 13355552 15263488 26711104 30526976 53422208 106844416 213688832