Search a number
-
+
212701968 = 24321477097
BaseRepresentation
bin11001010110110…
…01001100010000
3112211020101020200
430223121030100
5413422430333
633034535200
75161636233
oct1453311420
9484211220
10212701968
11aa079156
125b297500
13350b396b
142036b41a
1513a17c13
hexcad9310

212701968 has 30 divisors (see below), whose sum is σ = 595270494. Its totient is φ = 70900608.

The previous prime is 212701961. The next prime is 212701987. The reversal of 212701968 is 869107212.

It can be written as a sum of positive squares in only one way, i.e., 186814224 + 25887744 = 13668^2 + 5088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212701961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 738405 + ... + 738692.

Almost surely, 2212701968 is an apocalyptic number.

It is an amenable number.

212701968 is an abundant number, since it is smaller than the sum of its proper divisors (382568526).

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

212701968 is a wasteful number, since it uses less digits than its factorization.

212701968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477111 (or 1477102 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 212701968 is about 14584.3055371176. The cubic root of 212701968 is about 596.9305913263.

The spelling of 212701968 in words is "two hundred twelve million, seven hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1477097 2954194 4431291 5908388 8862582 11816776 13293873 17725164 23633552 26587746 35450328 53175492 70900656 106350984 212701968