Search a number
-
+
4202334100 = 2252437571291
BaseRepresentation
bin1111101001111010…
…1000011110010100
3101211212102200122201
43322132220132110
532101244142400
61532554334244
7206065151626
oct37236503624
911755380581
104202334100
111867120898
1299342a384
1351c815233
142bc182c16
15198de106a
hexfa7a8794

4202334100 has 72 divisors (see below), whose sum is σ = 9350700128. Its totient is φ = 1638403200.

The previous prime is 4202334083. The next prime is 4202334107. The reversal of 4202334100 is 14332024.

It is a super-2 number, since 2×42023341002 = 35319223776045620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202334107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3254455 + ... + 3255745.

Almost surely, 24202334100 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 4202334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675350064).

4202334100 is an abundant number, since it is smaller than the sum of its proper divisors (5148366028).

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

4202334100 is a wasteful number, since it uses less digits than its factorization.

4202334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4202334100 is about 64825.4124553018. The cubic root of 4202334100 is about 1613.7274719292.

Adding to 4202334100 its reverse (14332024), we get a palindrome (4216666124).

The spelling of 4202334100 in words is "four billion, two hundred two million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 757 860 1075 1291 1514 2150 2582 3028 3785 4300 5164 6455 7570 12910 15140 18925 25820 32275 32551 37850 55513 64550 65102 75700 111026 129100 130204 162755 222052 277565 325510 555130 651020 813775 977287 1110260 1387825 1627550 1954574 2775650 3255100 3909148 4886435 5551300 9772870 19545740 24432175 42023341 48864350 84046682 97728700 168093364 210116705 420233410 840466820 1050583525 2101167050 4202334100