Search a number
-
+
215025440 = 25571131699
BaseRepresentation
bin11001101000100…
…00011100100000
3112222121102110012
430310100130200
5420021303230
633200424052
75220454220
oct1464203440
9488542405
10215025440
11100415883
1260018028
13357183b6
14207b4080
1513d26395
hexcd10720

215025440 has 96 divisors (see below), whose sum is σ = 586051200. Its totient is φ = 73027584.

The previous prime is 215025431. The next prime is 215025449. The reversal of 215025440 is 44520512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (215025431) and next prime (215025449).

It is not an unprimeable number, because it can be changed into a prime (215025449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125711 + ... + 127409.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2215025440 is an apocalyptic number.

215025440 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 215025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

215025440 is an abundant number, since it is smaller than the sum of its proper divisors (371025760).

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

215025440 is a wasteful number, since it uses less digits than its factorization.

215025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 215025440 is about 14663.7457697547. The cubic root of 215025440 is about 599.0962690972.

Adding to 215025440 its reverse (44520512), we get a palindrome (259545952).

The spelling of 215025440 in words is "two hundred fifteen million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 113 140 160 224 226 280 452 560 565 791 904 1120 1130 1582 1699 1808 2260 3164 3398 3616 3955 4520 6328 6796 7910 8495 9040 11893 12656 13592 15820 16990 18080 23786 25312 27184 31640 33980 47572 54368 59465 63280 67960 95144 118930 126560 135920 190288 191987 237860 271840 380576 383974 475720 767948 951440 959935 1343909 1535896 1902880 1919870 2687818 3071792 3839740 5375636 6143584 6719545 7679480 10751272 13439090 15358960 21502544 26878180 30717920 43005088 53756360 107512720 215025440