Search a number
-
+
202882092 = 223753199229
BaseRepresentation
bin11000001011110…
…11110000101100
3112010202110220120
430011323300230
5403414211332
632044244540
75012316660
oct1405736054
9463673816
10202882092
11a4581356
1257b40750
133305609a
141cd328a0
1512c2832c
hexc17bc2c

202882092 has 96 divisors (see below), whose sum is σ = 556416000. Its totient is φ = 56339712.

The previous prime is 202882049. The next prime is 202882123. The reversal of 202882092 is 290288202.

202882092 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 super-2 number, since 2×2028820922 = 82322286508592928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885834 + ... + 886062.

It is an arithmetic number, because the mean of its divisors is an integer number (5796000).

Almost surely, 2202882092 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 202882092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278208000).

202882092 is an abundant number, since it is smaller than the sum of its proper divisors (353533908).

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

202882092 is a wasteful number, since it uses less digits than its factorization.

202882092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 202882092 is about 14243.6684881389. The cubic root of 202882092 is about 587.5992572300.

The spelling of 202882092 in words is "two hundred two million, eight hundred eighty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 199 212 229 318 371 398 458 597 636 687 742 796 916 1113 1194 1374 1393 1484 1603 2226 2388 2748 2786 3206 4179 4452 4809 5572 6412 8358 9618 10547 12137 16716 19236 21094 24274 31641 36411 42188 45571 48548 63282 72822 73829 84959 91142 126564 136713 145644 147658 169918 182284 221487 254877 273426 295316 318997 339836 442974 509754 546852 637994 885948 956991 1019508 1275988 1913982 2415263 3827964 4830526 7245789 9661052 14491578 16906841 28983156 33813682 50720523 67627364 101441046 202882092