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202023072 = 2534411901
BaseRepresentation
bin11000000101010…
…10000010100000
3112002010211120000
430002222002200
5403204214242
632014020000
75002111356
oct1402520240
9462124500
10202023072
11a4044a19
12577a7600
1332b150a4
141cb8b7d6
1512b08a4c
hexc0aa0a0

202023072 has 120 divisors (see below), whose sum is σ = 608955732. Its totient is φ = 65664000.

The previous prime is 202023043. The next prime is 202023109. The reversal of 202023072 is 270320202.

It can be written as a sum of positive squares in 2 ways, for example, as 150700176 + 51322896 = 12276^2 + 7164^2 .

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 19 ways as a sum of consecutive naturals, for example, 105322 + ... + 107222.

Almost surely, 2202023072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304477866).

202023072 is an abundant number, since it is smaller than the sum of its proper divisors (406932660).

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

202023072 is a wasteful number, since it uses less digits than its factorization.

202023072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 202023072 is about 14213.4820505040. The cubic root of 202023072 is about 586.7687689602.

Adding to 202023072 its reverse (270320202), we get a palindrome (472343274).

The spelling of 202023072 in words is "two hundred two million, twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 246 288 324 328 369 432 492 648 656 738 864 984 1107 1296 1312 1476 1901 1968 2214 2592 2952 3321 3802 3936 4428 5703 5904 6642 7604 8856 11406 11808 13284 15208 17109 17712 22812 26568 30416 34218 35424 45624 51327 53136 60832 68436 77941 91248 102654 106272 136872 153981 155882 182496 205308 233823 273744 307962 311764 410616 467646 547488 615924 623528 701469 821232 935292 1231848 1247056 1402938 1642464 1870584 2104407 2463696 2494112 2805876 3741168 4208814 4927392 5611752 6313221 7482336 8417628 11223504 12626442 16835256 22447008 25252884 33670512 50505768 67341024 101011536 202023072