Search a number
-
+
240214420 = 225171793947
BaseRepresentation
bin11100101000101…
…10000110010100
3121202000011020101
432110112012110
5442443330140
635500343444
75644534405
oct1624260624
9552004211
10240214420
1111365a716
1268544b84
133a9c7614
1423c8d9ac
151614e99a
hexe516194

240214420 has 48 divisors (see below), whose sum is σ = 537243840. Its totient is φ = 89905664.

The previous prime is 240214417. The next prime is 240214433. The reversal of 240214420 is 24412042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58887 + ... + 62833.

It is an arithmetic number, because the mean of its divisors is an integer number (11192580).

Almost surely, 2240214420 is an apocalyptic number.

240214420 is a gapful number since it is divisible by the number (20) 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 240214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268621920).

240214420 is an abundant number, since it is smaller than the sum of its proper divisors (297029420).

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

240214420 is a wasteful number, since it uses less digits than its factorization.

240214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 240214420 is about 15498.8522155674. The cubic root of 240214420 is about 621.6315163237.

Adding to 240214420 its reverse (24412042), we get a palindrome (264626462).

It can be divided in two parts, 24021 and 4420, that added together give a triangular number (28441 = T238).

The spelling of 240214420 in words is "two hundred forty million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 179 340 358 716 895 1790 3043 3580 3947 6086 7894 12172 15215 15788 19735 30430 39470 60860 67099 78940 134198 268396 335495 670990 706513 1341980 1413026 2826052 3532565 7065130 12010721 14130260 24021442 48042884 60053605 120107210 240214420