Search a number
-
+
215297376 = 25372371237
BaseRepresentation
bin11001101010100…
…10110101100000
3120000010020110220
430311102311200
5420104004001
633210323040
75222666100
oct1465226540
9500106426
10215297376
11100591118
1260129480
13357b20c8
1420845200
1513d7bc36
hexcd52d60

215297376 has 144 divisors (see below), whose sum is σ = 675740016. Its totient is φ = 59802624.

The previous prime is 215297371. The next prime is 215297399. The reversal of 215297376 is 673792512.

It is a super-2 number, since 2×2152973762 = 92705920224970752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215297371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173430 + ... + 174666.

It is an arithmetic number, because the mean of its divisors is an integer number (4692639).

Almost surely, 2215297376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215297376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337870008).

215297376 is an abundant number, since it is smaller than the sum of its proper divisors (460442640).

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

215297376 is a wasteful number, since it uses less digits than its factorization.

215297376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1286 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 215297376 is about 14673.0152320510. The cubic root of 215297376 is about 599.3487155256.

The spelling of 215297376 in words is "two hundred fifteen million, two hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 74 84 96 98 111 112 147 148 168 196 222 224 259 294 296 336 392 444 518 588 592 672 777 784 888 1036 1176 1184 1237 1554 1568 1776 1813 2072 2352 2474 3108 3552 3626 3711 4144 4704 4948 5439 6216 7252 7422 8288 8659 9896 10878 12432 14504 14844 17318 19792 21756 24864 25977 29008 29688 34636 39584 43512 45769 51954 58016 59376 60613 69272 87024 91538 103908 118752 121226 137307 138544 174048 181839 183076 207816 242452 274614 277088 320383 363678 366152 415632 484904 549228 640766 727356 732304 831264 961149 969808 1098456 1281532 1454712 1464608 1922298 1939616 2196912 2242681 2563064 2909424 3844596 4393824 4485362 5126128 5818848 6728043 7689192 8970724 10252256 13456086 15378384 17941448 26912172 30756768 35882896 53824344 71765792 107648688 215297376