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215188072 = 231119179719
BaseRepresentation
bin11001101001110…
…00001001101000
3112222220200112121
430310320021220
5420042004242
633204121024
75222032321
oct1464701150
9488820477
10215188072
11100516a90
1260096174
1335774428
1420817448
1513d59667
hexcd38268

215188072 has 64 divisors (see below), whose sum is σ = 466560000. Its totient is φ = 92018880.

The previous prime is 215188031. The next prime is 215188079. The reversal of 215188072 is 270881512.

It is not an unprimeable number, because it can be changed into a prime (215188079) 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, 298929 + ... + 299647.

It is an arithmetic number, because the mean of its divisors is an integer number (7290000).

Almost surely, 2215188072 is an apocalyptic number.

215188072 is a gapful number since it is divisible by the number (22) 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 215188072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233280000).

215188072 is an abundant number, since it is smaller than the sum of its proper divisors (251371928).

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

215188072 is a wasteful number, since it uses less digits than its factorization.

215188072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 215188072 is about 14669.2900987062. The cubic root of 215188072 is about 599.2472708745.

The spelling of 215188072 in words is "two hundred fifteen million, one hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 179 209 358 418 716 719 836 1432 1438 1672 1969 2876 3401 3938 5752 6802 7876 7909 13604 13661 15752 15818 27208 27322 31636 37411 54644 63272 74822 109288 128701 149644 150271 257402 299288 300542 514804 601084 1029608 1202168 1415711 2445319 2831422 4890638 5662844 9781276 11325688 19562552 26898509 53797018 107594036 215188072