Search a number
-
+
202371312 = 243111329483
BaseRepresentation
bin11000000111111…
…11000011110000
3112002210112020210
430003333003300
5403301340222
632025304120
75005061553
oct1403770360
9462715223
10202371312
11a4262620
1257935040
1332c07750
141cc3c69a
1512b76d0c
hexc0ff0f0

202371312 has 80 divisors (see below), whose sum is σ = 614210688. Its totient is φ = 56605440.

The previous prime is 202371311. The next prime is 202371359. The reversal of 202371312 is 213173202.

202371312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202371311) 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, 7878 + ... + 21605.

Almost surely, 2202371312 is an apocalyptic number.

202371312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

202371312 is an abundant number, since it is smaller than the sum of its proper divisors (411839376).

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

202371312 is a wasteful number, since it uses less digits than its factorization.

202371312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29518 (or 29512 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 202371312 is about 14225.7271167417. The cubic root of 202371312 is about 587.1057256210.

The spelling of 202371312 in words is "two hundred two million, three hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 29483 58966 88449 117932 176898 235864 324313 353796 383279 471728 648626 707592 766558 972939 1149837 1297252 1415184 1533116 1945878 2299674 2594504 3066232 3891756 4216069 4599348 5189008 6132464 7783512 8432138 9198696 12648207 15567024 16864276 18397392 25296414 33728552 50592828 67457104 101185656 202371312