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213216556 = 227192411663
BaseRepresentation
bin11001011010101…
…10110100101100
3112212012112010111
430231112310230
5414040412211
633053545404
75166211420
oct1455266454
9485175114
10213216556
11aa39a833
125b4a5264
1335233c57
1420462b80
1513aba421
hexcb56d2c

213216556 has 48 divisors (see below), whose sum is σ = 451010560. Its totient is φ = 86158080.

The previous prime is 213216541. The next prime is 213216569. The reversal of 213216556 is 655612312.

It is a super-2 number, since 2×2132165562 = 90922599505002272, which contains 22 as substring.

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, 127381 + ... + 129043.

Almost surely, 2213216556 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 213216556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225505280).

213216556 is an abundant number, since it is smaller than the sum of its proper divisors (237794004).

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

213216556 is a wasteful number, since it uses less digits than its factorization.

213216556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1932 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 213216556 is about 14601.9367208600. The cubic root of 213216556 is about 597.4115866215.

Adding to 213216556 its reverse (655612312), we get a palindrome (868828868).

The spelling of 213216556 in words is "two hundred thirteen million, two hundred sixteen thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 241 266 482 532 964 1663 1687 3326 3374 4579 6652 6748 9158 11641 18316 23282 31597 32053 46564 63194 64106 126388 128212 221179 400783 442358 801566 884716 1603132 2805481 5610962 7614877 11221924 15229754 30459508 53304139 106608278 213216556