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202347068 = 227211127739
BaseRepresentation
bin11000000111110…
…01001000111100
3112002202021222212
430003321020330
5403300101233
632024555552
75004631100
oct1403711074
9462667885
10202347068
11a4246390
1257922bb8
1332bc96c1
141cc33900
1512b6ea48
hexc0f923c

202347068 has 72 divisors (see below), whose sum is σ = 453519360. Its totient is φ = 78109920.

The previous prime is 202347029. The next prime is 202347083. The reversal of 202347068 is 860743202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273443 + ... + 274181.

It is an arithmetic number, because the mean of its divisors is an integer number (6298880).

Almost surely, 2202347068 is an apocalyptic number.

202347068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202347068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226759680).

202347068 is an abundant number, since it is smaller than the sum of its proper divisors (251172292).

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

202347068 is a wasteful number, since it uses less digits than its factorization.

202347068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 202347068 is about 14224.8749730885. The cubic root of 202347068 is about 587.0822796765.

It can be divided in two parts, 2023 and 47068, that multiplied together give a square (95218564 = 97582).

The spelling of 202347068 in words is "two hundred two million, three hundred forty-seven thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 127 154 196 254 308 508 539 739 889 1078 1397 1478 1778 2156 2794 2956 3556 5173 5588 6223 8129 9779 10346 12446 16258 19558 20692 24892 32516 36211 39116 56903 68453 72422 93853 113806 136906 144844 187706 227612 273812 375412 398321 656971 796642 1032383 1313942 1593284 2064766 2627884 4129532 4598797 7226681 9197594 14453362 18395188 28906724 50586767 101173534 202347068