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214245632 = 286712491
BaseRepresentation
bin11001100010100…
…10000100000000
3112221010210202102
430301102010000
5414321330012
633132005532
75211025556
oct1461220400
9487123672
10214245632
11aaa32a07
125b9008a8
1335504483
142064dbd6
1513c202c2
hexcc52100

214245632 has 36 divisors (see below), whose sum is σ = 434072016. Its totient is φ = 105515520.

The previous prime is 214245631. The next prime is 214245643. The reversal of 214245632 is 236542412.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 214245595 and 214245604.

It is not an unprimeable number, because it can be changed into a prime (214245631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10907 + ... + 23397.

It is an arithmetic number, because the mean of its divisors is an integer number (12057556).

Almost surely, 2214245632 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 214245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217036008).

214245632 is an abundant number, since it is smaller than the sum of its proper divisors (219826384).

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

214245632 is an equidigital number, since it uses as much as digits as its factorization.

214245632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12574 (or 12560 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 214245632 is about 14637.1319595063. The cubic root of 214245632 is about 598.3711673602.

It can be divided in two parts, 2142 and 45632, that added together give a palindrome (47774).

The spelling of 214245632 in words is "two hundred fourteen million, two hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 8576 12491 17152 24982 49964 99928 199856 399712 799424 836897 1598848 1673794 3197696 3347588 6695176 13390352 26780704 53561408 107122816 214245632