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211300152 = 23372353509
BaseRepresentation
bin11001001100000…
…10111100111000
3112201121011022120
430212002330320
5413043101102
632544521240
75144010300
oct1446027470
9481534276
10211300152
11a9300a28
125a920220
1334a1289b
14200c4600
151383c6bc
hexc982f38

211300152 has 96 divisors (see below), whose sum is σ = 617446800. Its totient is φ = 60082176.

The previous prime is 211300147. The next prime is 211300163. The reversal of 211300152 is 251003112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414874 + ... + 415382.

Almost surely, 2211300152 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 211300152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308723400).

211300152 is an abundant number, since it is smaller than the sum of its proper divisors (406146648).

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

211300152 is a wasteful number, since it uses less digits than its factorization.

211300152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 211300152 is about 14536.1670326121. The cubic root of 211300152 is about 595.6163394207.

Adding to 211300152 its reverse (251003112), we get a palindrome (462303264).

The spelling of 211300152 in words is "two hundred eleven million, three hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 353 392 509 588 706 1018 1059 1176 1412 1527 2036 2118 2471 2824 3054 3563 4072 4236 4942 6108 7126 7413 8472 9884 10689 12216 14252 14826 17297 19768 21378 24941 28504 29652 34594 42756 49882 51891 59304 69188 74823 85512 99764 103782 138376 149646 179677 199528 207564 299292 359354 415128 539031 598584 718708 1078062 1257739 1437416 2156124 2515478 3773217 4312248 5030956 7546434 8804173 10061912 15092868 17608346 26412519 30185736 35216692 52825038 70433384 105650076 211300152