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210034132 = 227111921889
BaseRepresentation
bin11001000010011…
…01110111010100
3112122012211122221
430201031313110
5412232043012
632501432124
75130155260
oct1441156724
9478184587
10210034132
11a8616830
125a40b644
133468b569
141dc750a0
151368c507
hexc84ddd4

210034132 has 72 divisors (see below), whose sum is σ = 483900480. Its totient is φ = 77483520.

The previous prime is 210034127. The next prime is 210034141. The reversal of 210034132 is 231430012.

It is a happy number.

210034132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2100341322 = 88228673209986848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110244 + ... + 112132.

It is an arithmetic number, because the mean of its divisors is an integer number (6720840).

Almost surely, 2210034132 is an apocalyptic number.

210034132 is a gapful number since it is divisible by the number (22) 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 210034132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241950240).

210034132 is an abundant number, since it is smaller than the sum of its proper divisors (273866348).

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

210034132 is a wasteful number, since it uses less digits than its factorization.

210034132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 210034132 is about 14492.5543642244. The cubic root of 210034132 is about 594.4243963801.

Adding to 210034132 its reverse (231430012), we get a palindrome (441464144).

The spelling of 210034132 in words is "two hundred ten million, thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 361 418 532 722 836 1444 1463 1889 2527 2926 3778 3971 5054 5852 7556 7942 10108 13223 15884 20779 26446 27797 35891 41558 52892 55594 71782 83116 111188 143564 145453 251237 290906 394801 502474 581812 681929 789602 1004948 1363858 1579204 2727716 2763607 4773503 5527214 7501219 9547006 11054428 15002438 19094012 30004876 52508533 105017066 210034132