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215076864 = 212323761
BaseRepresentation
bin11001101000111…
…01000000000000
3112222201000222210
430310131000000
5420024424424
633201502120
75221060152
oct1464350000
9488630883
10215076864
11100450482
1260041940
1335735922
14207c8ad2
1513d36729
hexcd1d000

215076864 has 104 divisors (see below), whose sum is σ = 599188032. Its totient is φ = 68485120.

The previous prime is 215076863. The next prime is 215076919. The reversal of 215076864 is 468670512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215076863) 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, 282244 + ... + 283004.

Almost surely, 2215076864 is an apocalyptic number.

215076864 is a gapful number since it is divisible by the number (24) 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 215076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299594016).

215076864 is an abundant number, since it is smaller than the sum of its proper divisors (384111168).

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

215076864 is an equidigital number, since it uses as much as digits as its factorization.

215076864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 215076864 is about 14665.4991050424. The cubic root of 215076864 is about 599.1440238666.

The spelling of 215076864 in words is "two hundred fifteen million, seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 761 768 1024 1104 1472 1522 1536 2048 2208 2283 2944 3044 3072 4096 4416 4566 5888 6088 6144 8832 9132 11776 12176 12288 17503 17664 18264 23552 24352 35006 35328 36528 47104 48704 52509 70012 70656 73056 94208 97408 105018 140024 141312 146112 194816 210036 280048 282624 292224 389632 420072 560096 584448 779264 840144 1120192 1168896 1558528 1680288 2240384 2337792 3117056 3360576 4480768 4675584 6721152 8961536 9351168 13442304 17923072 26884608 35846144 53769216 71692288 107538432 215076864