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202423140 = 223255771949
BaseRepresentation
bin11000001000010…
…11101101100100
3112002220011100100
430010023231210
5403310020030
632030344100
75005365633
oct1404135544
9462804310
10202423140
11a4298557
125795b030
1332c2520a
141cc5351a
1512b87360
hexc10bb64

202423140 has 72 divisors (see below), whose sum is σ = 615396600. Its totient is φ = 53858304.

The previous prime is 202423099. The next prime is 202423153. The reversal of 202423140 is 41324202.

202423140 is a `hidden beast` number, since 202 + 423 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111640356 + 90782784 = 10566^2 + 9528^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102886 + ... + 104834.

It is an arithmetic number, because the mean of its divisors is an integer number (8547175).

Almost surely, 2202423140 is an apocalyptic number.

202423140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202423140 is an abundant number, since it is smaller than the sum of its proper divisors (412973460).

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

202423140 is a wasteful number, since it uses less digits than its factorization.

202423140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 202423140 is about 14227.5486293318. The cubic root of 202423140 is about 587.1558412855.

Adding to 202423140 its reverse (41324202), we get a palindrome (243747342).

The spelling of 202423140 in words is "two hundred two million, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 577 1154 1731 1949 2308 2885 3462 3898 5193 5770 5847 6924 7796 8655 9745 10386 11540 11694 17310 17541 19490 20772 23388 25965 29235 34620 35082 38980 51930 58470 70164 87705 103860 116940 175410 350820 1124573 2249146 3373719 4498292 5622865 6747438 10121157 11245730 13494876 16868595 20242314 22491460 33737190 40484628 50605785 67474380 101211570 202423140