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215114240 = 295117639
BaseRepresentation
bin11001101001001…
…10001000000000
3112222202221021002
430310212020000
5420032123430
633202351132
75221304135
oct1464461000
9488687232
10215114240
11100476570
126005b4a8
1335749943
14207d858c
1513d42845
hexcd26200

215114240 has 80 divisors (see below), whose sum is σ = 562731840. Its totient is φ = 78213120.

The previous prime is 215114233. The next prime is 215114293. The reversal of 215114240 is 42411512.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24341 + ... + 31979.

It is an arithmetic number, because the mean of its divisors is an integer number (7034148).

Almost surely, 2215114240 is an apocalyptic number.

215114240 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 215114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281365920).

215114240 is an abundant number, since it is smaller than the sum of its proper divisors (347617600).

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

215114240 is an equidigital number, since it uses as much as digits as its factorization.

215114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 215114240 is about 14666.7733329455. The cubic root of 215114240 is about 599.1787282192.

Adding to 215114240 its reverse (42411512), we get a palindrome (257525752).

The spelling of 215114240 in words is "two hundred fifteen million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 7639 14080 15278 28160 30556 38195 61112 76390 84029 122224 152780 168058 244448 305560 336116 420145 488896 611120 672232 840290 977792 1222240 1344464 1680580 1955584 2444480 2688928 3361160 3911168 4888960 5377856 6722320 9777920 10755712 13444640 19555840 21511424 26889280 43022848 53778560 107557120 215114240