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202018940 = 225311631999
BaseRepresentation
bin11000000101010…
…01000001111100
3112002010121212222
430002221001330
5403204101230
632013544512
75002063334
oct1402510174
9462117788
10202018940
11a4041902
12577a5138
1332b13246
141cb8a0c4
1512b076e5
hexc0a907c

202018940 has 48 divisors (see below), whose sum is σ = 440832000. Its totient is φ = 77682240.

The previous prime is 202018937. The next prime is 202018951. The reversal of 202018940 is 49810202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100061 + ... + 102059.

It is an arithmetic number, because the mean of its divisors is an integer number (9184000).

Almost surely, 2202018940 is an apocalyptic number.

202018940 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 202018940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220416000).

202018940 is an abundant number, since it is smaller than the sum of its proper divisors (238813060).

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

202018940 is a wasteful number, since it uses less digits than its factorization.

202018940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 202018940 is about 14213.3366948089. The cubic root of 202018940 is about 586.7647685177.

The spelling of 202018940 in words is "two hundred two million, eighteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 163 310 326 620 652 815 1630 1999 3260 3998 5053 7996 9995 10106 19990 20212 25265 39980 50530 61969 101060 123938 247876 309845 325837 619690 651674 1239380 1303348 1629185 3258370 6516740 10100947 20201894 40403788 50504735 101009470 202018940