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213266260 = 225194711941
BaseRepresentation
bin11001011011000…
…10111101010100
3112212022001022101
430231202331110
5414044010020
633055011444
75166506344
oct1455427524
9485261271
10213266260
11aa424109
125b509b84
133525076c
1420476d24
1513aca00a
hexcb62f54

213266260 has 48 divisors (see below), whose sum is σ = 481501440. Its totient is φ = 79090560.

The previous prime is 213266257. The next prime is 213266299. The reversal of 213266260 is 62662312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11890 + ... + 23830.

It is an arithmetic number, because the mean of its divisors is an integer number (10031280).

Almost surely, 2213266260 is an apocalyptic number.

213266260 is a gapful number since it is divisible by the number (20) 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 213266260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240750720).

213266260 is an abundant number, since it is smaller than the sum of its proper divisors (268235180).

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

213266260 is a wasteful number, since it uses less digits than its factorization.

213266260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12016 (or 12014 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 213266260 is about 14603.6385876945. The cubic root of 213266260 is about 597.4580049031.

The spelling of 213266260 in words is "two hundred thirteen million, two hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 8930 11941 17860 23882 47764 59705 119410 226879 238820 453758 561227 907516 1122454 1134395 2244908 2268790 2806135 4537580 5612270 10663313 11224540 21326626 42653252 53316565 106633130 213266260