Search a number
-
+
202254220 = 22577918287
BaseRepresentation
bin11000000111000…
…10011110001100
3112002120120122001
430003202132030
5403234113340
632023002044
75004063310
oct1403423614
9462516561
10202254220
11a4192653
1257899324
1332b9636c
141cc0bb40
1512b5229a
hexc0e278c

202254220 has 48 divisors (see below), whose sum is σ = 491581440. Its totient is φ = 68462784.

The previous prime is 202254211. The next prime is 202254229. The reversal of 202254220 is 22452202.

202254220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202254211) and next prime (202254229).

It is not an unprimeable number, because it can be changed into a prime (202254229) 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, 1917 + ... + 20203.

It is an arithmetic number, because the mean of its divisors is an integer number (10241280).

Almost surely, 2202254220 is an apocalyptic number.

202254220 is a gapful number since it is divisible by the number (20) 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 202254220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

202254220 is an abundant number, since it is smaller than the sum of its proper divisors (289327220).

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

202254220 is a wasteful number, since it uses less digits than its factorization.

202254220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18382 (or 18380 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 202254220 is about 14221.6110198528. The cubic root of 202254220 is about 586.9924706906.

The spelling of 202254220 in words is "two hundred two million, two hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 11060 18287 36574 73148 91435 128009 182870 256018 365740 512036 640045 1280090 1444673 2560180 2889346 5778692 7223365 10112711 14446730 20225422 28893460 40450844 50563555 101127110 202254220