Search a number
-
+
212474352 = 24343113911
BaseRepresentation
bin11001010101000…
…01100111110000
3112210210211000110
430222201213300
5413343134402
633030021320
75160000516
oct1452414760
9483724013
10212474352
11a9a33142
125b1a7840
133503418c
142030c4b6
15139c056c
hexcaa19f0

212474352 has 80 divisors (see below), whose sum is σ = 567249408. Its totient is φ = 68490240.

The previous prime is 212474323. The next prime is 212474363. The reversal of 212474352 is 253474212.

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 15 ways as a sum of consecutive naturals, for example, 232777 + ... + 233687.

Almost surely, 2212474352 is an apocalyptic number.

It is a pronic number, being equal to 14576×14577.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212474352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283624704).

212474352 is an abundant number, since it is smaller than the sum of its proper divisors (354775056).

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

212474352 is a wasteful number, since it uses less digits than its factorization.

212474352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 212474352 is about 14576.4999914246. The cubic root of 212474352 is about 596.7175867962.

The spelling of 212474352 in words is "two hundred twelve million, four hundred seventy-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 113 129 172 226 258 339 344 452 516 678 688 904 911 1032 1356 1808 1822 2064 2712 2733 3644 4859 5424 5466 7288 9718 10932 14576 14577 19436 21864 29154 38872 39173 43728 58308 77744 78346 102943 116616 117519 156692 205886 233232 235038 308829 313384 411772 470076 617658 626768 823544 940152 1235316 1647088 1880304 2470632 4426549 4941264 8853098 13279647 17706196 26559294 35412392 53118588 70824784 106237176 212474352