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212984232 = 233232411601
BaseRepresentation
bin11001011000111…
…10000110101000
3112211202201102220
430230132012220
5414010443412
633044554040
75164223166
oct1454360650
9484681386
10212984232
11aa25122a
125b3b2920
1335182296
1420402236
1513a7168c
hexcb1e1a8

212984232 has 64 divisors (see below), whose sum is σ = 558264960. Its totient is φ = 67584000.

The previous prime is 212984201. The next prime is 212984287. The reversal of 212984232 is 232489212.

It is a junction number, because it is equal to n+sod(n) for n = 212984193 and 212984202.

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 15 ways as a sum of consecutive naturals, for example, 132232 + ... + 133832.

It is an arithmetic number, because the mean of its divisors is an integer number (8722890).

Almost surely, 2212984232 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 212984232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279132480).

212984232 is an abundant number, since it is smaller than the sum of its proper divisors (345280728).

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

212984232 is a wasteful number, since it uses less digits than its factorization.

212984232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1870 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 212984232 is about 14593.9793065497. The cubic root of 212984232 is about 597.1945248496.

The spelling of 212984232 in words is "two hundred twelve million, nine hundred eighty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 241 276 482 552 723 964 1446 1601 1928 2892 3202 4803 5543 5784 6404 9606 11086 12808 16629 19212 22172 33258 36823 38424 44344 66516 73646 110469 133032 147292 220938 294584 385841 441876 771682 883752 1157523 1543364 2315046 3086728 4630092 8874343 9260184 17748686 26623029 35497372 53246058 70994744 106492116 212984232