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202466420 = 22513778717
BaseRepresentation
bin11000001000101…
…10010001110100
3112002222100201022
430010112101310
5403312411140
632031320312
75005636052
oct1404262164
9462870638
10202466420
11a4318022
1257980098
1332c3bb20
141cc651d2
1512b950b5
hexc116474

202466420 has 24 divisors (see below), whose sum is σ = 457886184. Its totient is φ = 74756736.

The previous prime is 202466393. The next prime is 202466423. The reversal of 202466420 is 24664202.

It can be written as a sum of positive squares in 4 ways, for example, as 10588516 + 191877904 = 3254^2 + 13852^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 202466420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202466423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 389099 + ... + 389618.

It is an arithmetic number, because the mean of its divisors is an integer number (19078591).

Almost surely, 2202466420 is an apocalyptic number.

202466420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202466420 is an abundant number, since it is smaller than the sum of its proper divisors (255419764).

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

202466420 is a wasteful number, since it uses less digits than its factorization.

202466420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778739 (or 778737 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 202466420 is about 14229.0695409081. The cubic root of 202466420 is about 587.1976848117.

The spelling of 202466420 in words is "two hundred two million, four hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 778717 1557434 3114868 3893585 7787170 10123321 15574340 20246642 40493284 50616605 101233210 202466420