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215920896 = 2832631069
BaseRepresentation
bin11001101111010…
…11000100000000
3120001021220210020
430313223010000
5420233432041
633231533440
75231203662
oct1467530400
9501256706
10215920896
11100977624
126038a280
133596cb59
1420968532
1513e51866
hexcdeb100

215920896 has 72 divisors (see below), whose sum is σ = 577389120. Its totient is φ = 71632896.

The previous prime is 215920891. The next prime is 215920897. The reversal of 215920896 is 698029512.

It is not an unprimeable number, because it can be changed into a prime (215920891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201450 + ... + 202518.

Almost surely, 2215920896 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 215920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288694560).

215920896 is an abundant number, since it is smaller than the sum of its proper divisors (361468224).

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

215920896 is a wasteful number, since it uses less digits than its factorization.

215920896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 215920896 is about 14694.2470375314. The cubic root of 215920896 is about 599.9267466125.

The spelling of 215920896 in words is "two hundred fifteen million, nine hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 263 384 526 768 789 1052 1069 1578 2104 2138 3156 3207 4208 4276 6312 6414 8416 8552 12624 12828 16832 17104 25248 25656 33664 34208 50496 51312 67328 68416 100992 102624 136832 201984 205248 273664 281147 410496 562294 820992 843441 1124588 1686882 2249176 3373764 4498352 6747528 8996704 13495056 17993408 26990112 35986816 53980224 71973632 107960448 215920896