Search a number
-
+
270208224 = 253101113
BaseRepresentation
bin10000000110110…
…000110011100000
3200211110000000000
4100012300303200
51023133130344
642451300000
76460506036
oct2006606340
9624400000
10270208224
11129586490
12765aa600
1343c99830
1427c5a556
1518ac6a69
hex101b0ce0

270208224 has 264 divisors, whose sum is σ = 937456632. Its totient is φ = 75582720.

The previous prime is 270208201. The next prime is 270208231. The reversal of 270208224 is 422802072.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 20785242 + ... + 20785254.

Almost surely, 2270208224 is an apocalyptic number.

270208224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270208224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468728316).

270208224 is an abundant number, since it is smaller than the sum of its proper divisors (667248408).

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

270208224 is an equidigital number, since it uses as much as digits as its factorization.

270208224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 270208224 is about 16438.0115585797. The cubic root of 270208224 is about 646.4965143195.

The spelling of 270208224 in words is "two hundred seventy million, two hundred eight thousand, two hundred twenty-four".