Search a number
-
+
202264212 = 223293118749
BaseRepresentation
bin11000000111001…
…00111010010100
3112002121002100010
430003210322110
5403234423322
632023120220
75004134403
oct1403447224
9462532303
10202264212
11a419a107
12578a3070
1332b9aa87
141cc1163a
1512b5520c
hexc0e4e94

202264212 has 48 divisors (see below), whose sum is σ = 504000000. Its totient is φ = 62993280.

The previous prime is 202264151. The next prime is 202264219. The reversal of 202264212 is 212462202.

It is a super-2 number, since 2×2022642122 = 81821622911961888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202264219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1414 + ... + 20162.

It is an arithmetic number, because the mean of its divisors is an integer number (10500000).

Almost surely, 2202264212 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 202264212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252000000).

202264212 is an abundant number, since it is smaller than the sum of its proper divisors (301735788).

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

202264212 is a wasteful number, since it uses less digits than its factorization.

202264212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18816 (or 18814 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 202264212 is about 14221.9623118612. The cubic root of 202264212 is about 587.0021369614.

The spelling of 202264212 in words is "two hundred two million, two hundred sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 5394 10788 18749 37498 56247 74996 112494 224988 543721 581219 1087442 1162438 1631163 1743657 2174884 2324876 3262326 3487314 6524652 6974628 16855351 33710702 50566053 67421404 101132106 202264212