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202272006012 = 223231741942073
BaseRepresentation
bin1011110001100001011…
…0011101111101111100
3201100002200110112211020
42330120112131331330
511303223113143022
6232531131024140
720420326453146
oct2743026357574
9640080415736
10202272006012
1178868301a1a
123325059b050
13160c6c4242b
149b0bb43c96
1553dcb6635c
hex2f1859df7c

202272006012 has 48 divisors (see below), whose sum is σ = 492528341760. Its totient is φ = 64487288448.

The previous prime is 202272005987. The next prime is 202272006017. The reversal of 202272006012 is 210600272202.

It is a super-2 number, since 2×2022720060122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202272006017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4786608 + ... + 4828680.

It is an arithmetic number, because the mean of its divisors is an integer number (10261007120).

Almost surely, 2202272006012 is an apocalyptic number.

It is an amenable number.

202272006012 is an abundant number, since it is smaller than the sum of its proper divisors (290256335748).

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

202272006012 is a wasteful number, since it uses less digits than its factorization.

202272006012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59522 (or 59520 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 202272006012 its reverse (210600272202), we get a palindrome (412872278214).

The spelling of 202272006012 in words is "two hundred two billion, two hundred seventy-two million, six thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 17419 34838 42073 52257 69676 84146 104514 126219 168292 209028 252438 400637 504876 801274 967679 1201911 1602548 1935358 2403822 2903037 3870716 4807644 5806074 11612148 732869587 1465739174 2198608761 2931478348 4397217522 8794435044 16856000501 33712001002 50568001503 67424002004 101136003006 202272006012