Search a number
-
+
204002420202 = 232721193193877
BaseRepresentation
bin1011110111111101111…
…1011110010111101010
3201111120021112200211200
42331333133132113222
511320244104421302
6233414543505030
720511240650400
oct2757737362752
9644507480750
10204002420202
1179576058799
1233653bb8176
13163115aa359
149c338a5470
15548ea2681c
hex2f7f7de5ea

204002420202 has 72 divisors (see below), whose sum is σ = 514603008036. Its totient is φ = 58237248384.

The previous prime is 204002420191. The next prime is 204002420203. The reversal of 204002420202 is 202024200402.

204002420202 is a `hidden beast` number, since 2 + 0 + 40 + 0 + 2 + 420 + 202 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183544553241 + 20457866961 = 428421^2 + 143031^2 .

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

It is not an unprimeable number, because it can be changed into a prime (204002420203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 955288 + ... + 1149164.

Almost surely, 2204002420202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204002420202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257301504018).

204002420202 is an abundant number, since it is smaller than the sum of its proper divisors (310600587834).

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

204002420202 is a wasteful number, since it uses less digits than its factorization.

204002420202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195092 (or 195082 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 204002420202 its reverse (202024200402), we get a palindrome (406026620604).

The spelling of 204002420202 in words is "two hundred four billion, two million, four hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1193 2386 3579 7158 8351 10737 16702 21474 25053 50106 58457 75159 116914 150318 175371 193877 350742 387754 526113 581631 1052226 1163262 1357139 1744893 2714278 3489786 4071417 8142834 9499973 12214251 18999946 24428502 28499919 56999838 85499757 170999514 231295261 462590522 693885783 1387771566 1619066827 2081657349 3238133654 4163314698 4857200481 9714400962 11333467789 14571601443 22666935578 29143202886 34000403367 68000806734 102001210101 204002420202