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215704064 = 29537949
BaseRepresentation
bin11001101101101…
…10001000000000
3120000212220100102
430312312020000
5420210012224
633223141532
75226311552
oct1466661000
9500786312
10215704064
11100839724
12602a48a8
13358c5254
142090d4d2
1513e0c4ae
hexcdb6200

215704064 has 40 divisors (see below), whose sum is σ = 439173900. Its totient is φ = 105803776.

The previous prime is 215704063. The next prime is 215704067. The reversal of 215704064 is 460407512.

It can be written as a sum of positive squares in 2 ways, for example, as 213393664 + 2310400 = 14608^2 + 1520^2 .

It is a super-2 number, since 2×2157040642 = 93056486452232192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (215704063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23162 + ... + 31110.

Almost surely, 2215704064 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 215704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219586950).

215704064 is an abundant number, since it is smaller than the sum of its proper divisors (223469836).

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

215704064 is an frugal number, since it uses more digits than its factorization.

215704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 215704064 is about 14686.8670587025. The cubic root of 215704064 is about 599.7258599496.

The spelling of 215704064 in words is "two hundred fifteen million, seven hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1696 3392 6784 7949 13568 15898 27136 31796 63592 127184 254368 421297 508736 842594 1017472 1685188 2034944 3370376 4069888 6740752 13481504 26963008 53926016 107852032 215704064