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215440240 = 24519413457
BaseRepresentation
bin11001101011101…
…01101101110000
3120000101111110011
430311311231300
5420123041430
633213344304
75224132441
oct1465655560
9500344404
10215440240
11100679494
1260198094
1335832142
14208812c8
1513da922a
hexcd75b70

215440240 has 80 divisors (see below), whose sum is σ = 540277920. Its totient is φ = 79626240.

The previous prime is 215440231. The next prime is 215440249. The reversal of 215440240 is 42044512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (215440231) and next prime (215440249).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2154402402 = 92828994022515200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215440249) 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, 60592 + ... + 64048.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474).

Almost surely, 2215440240 is an apocalyptic number.

215440240 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 215440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270138960).

215440240 is an abundant number, since it is smaller than the sum of its proper divisors (324837680).

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

215440240 is a wasteful number, since it uses less digits than its factorization.

215440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 215440240 is about 14677.8826810954. The cubic root of 215440240 is about 599.4812553396.

Adding to 215440240 its reverse (42044512), we get a palindrome (257484752).

The spelling of 215440240 in words is "two hundred fifteen million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 41 76 80 82 95 152 164 190 205 304 328 380 410 656 760 779 820 1520 1558 1640 3116 3280 3457 3895 6232 6914 7790 12464 13828 15580 17285 27656 31160 34570 55312 62320 65683 69140 131366 138280 141737 262732 276560 283474 328415 525464 566948 656830 708685 1050928 1133896 1313660 1417370 2267792 2627320 2693003 2834740 5254640 5386006 5669480 10772012 11338960 13465015 21544024 26930030 43088048 53860060 107720120 215440240