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212129496 = 23339912
BaseRepresentation
bin11001010010011…
…01011011011000
3112210011021222000
430221031123120
5413301120441
633014401000
75154033225
oct1451153330
9483137860
10212129496
11a9818037
125b060160
1334c43217
142025c94c
15139532b6
hexca4d6d8

212129496 has 48 divisors (see below), whose sum is σ = 589843800. Its totient is φ = 70638480.

The previous prime is 212129447. The next prime is 212129501. The reversal of 212129496 is 694921212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

212129496 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 212129496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213561 + ... + 214551.

Almost surely, 2212129496 is an apocalyptic number.

It is an amenable number.

212129496 is an abundant number, since it is smaller than the sum of its proper divisors (377714304).

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

212129496 is an frugal number, since it uses more digits than its factorization.

212129496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 996 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 212129496 is about 14564.6660105888. Note that the first 3 decimals coincide. The cubic root of 212129496 is about 596.3945782859.

The spelling of 212129496 in words is "two hundred twelve million, one hundred twenty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 991 1982 2973 3964 5946 7928 8919 11892 17838 23784 26757 35676 53514 71352 107028 214056 982081 1964162 2946243 3928324 5892486 7856648 8838729 11784972 17677458 23569944 26516187 35354916 53032374 70709832 106064748 212129496