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212402032 = 24291134051
BaseRepresentation
bin11001010100011…
…11111101110000
3112210200010210221
430222033331300
5413333331112
633024302424
75156246623
oct1452177560
9483603727
10212402032
11a9993877
125b171a14
133500a29b
14202cddba
15139a8e07
hexca8ff70

212402032 has 40 divisors (see below), whose sum is σ = 429593040. Its totient is φ = 101606400.

The previous prime is 212402027. The next prime is 212402093. The reversal of 212402032 is 230204212.

212402032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124020322 = 90229246395458048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212401997 and 212402015.

It is a congruent number.

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, 50407 + ... + 54457.

It is an arithmetic number, because the mean of its divisors is an integer number (10739826).

Almost surely, 2212402032 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 212402032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214796520).

212402032 is an abundant number, since it is smaller than the sum of its proper divisors (217191008).

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

212402032 is a wasteful number, since it uses less digits than its factorization.

212402032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 212402032 is about 14574.0190750527. The cubic root of 212402032 is about 596.6498774271.

Adding to 212402032 its reverse (230204212), we get a palindrome (442606244).

The spelling of 212402032 in words is "two hundred twelve million, four hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 113 116 226 232 452 464 904 1808 3277 4051 6554 8102 13108 16204 26216 32408 52432 64816 117479 234958 457763 469916 915526 939832 1831052 1879664 3662104 7324208 13275127 26550254 53100508 106201016 212402032