Search a number
-
+
202101438 = 237112931493
BaseRepresentation
bin11000000101111…
…01001010111110
3112002021211001110
430002331022332
5403214221223
632015422450
75002556010
oct1402751276
9462254043
10202101438
11a4098890
1257824a26
1332b41966
141cbac1b0
1512b21d93
hexc0bd2be

202101438 has 64 divisors (see below), whose sum is σ = 505999872. Its totient is φ = 52279680.

The previous prime is 202101421. The next prime is 202101439. The reversal of 202101438 is 834101202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134620 + ... + 136112.

It is an arithmetic number, because the mean of its divisors is an integer number (7906248).

Almost surely, 2202101438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252999936).

202101438 is an abundant number, since it is smaller than the sum of its proper divisors (303898434).

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

202101438 is a wasteful number, since it uses less digits than its factorization.

202101438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 202101438 is about 14216.2385320450. The cubic root of 202101438 is about 586.8446295645.

The spelling of 202101438 in words is "two hundred two million, one hundred one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 293 462 586 879 1493 1758 2051 2986 3223 4102 4479 6153 6446 8958 9669 10451 12306 16423 19338 20902 22561 31353 32846 45122 49269 62706 67683 98538 114961 135366 229922 344883 437449 689766 874898 1312347 2624694 3062143 4811939 6124286 9186429 9623878 14435817 18372858 28871634 33683573 67367146 101050719 202101438