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212375007 = 33131514007
BaseRepresentation
bin11001010100010…
…01010111011111
3112210121202202000
430222021113133
5413332000012
633023533343
75156105055
oct1452112737
9483552660
10212375007
11a9975539
125b15a253
1334ccabb0
14202c41d5
15139a0ddc
hexca895df

212375007 has 32 divisors (see below), whose sum is σ = 341160960. Its totient is φ = 129794400.

The previous prime is 212374997. The next prime is 212375011. The reversal of 212375007 is 700573212.

It is not a de Polignac number, because 212375007 - 212 = 212370911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212375047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50998 + ... + 55004.

It is an arithmetic number, because the mean of its divisors is an integer number (10661280).

Almost surely, 2212375007 is an apocalyptic number.

212375007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

212375007 is a deficient number, since it is larger than the sum of its proper divisors (128785953).

212375007 is a wasteful number, since it uses less digits than its factorization.

212375007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 212375007 is about 14573.0918819583. The cubic root of 212375007 is about 596.6245714123.

It can be divided in two parts, 21237 and 5007, that added together give a square (26244 = 1622).

The spelling of 212375007 in words is "two hundred twelve million, three hundred seventy-five thousand, seven".

Divisors: 1 3 9 13 27 39 117 151 351 453 1359 1963 4007 4077 5889 12021 17667 36063 52091 53001 108189 156273 468819 605057 1406457 1815171 5445513 7865741 16336539 23597223 70791669 212375007