Search a number
-
+
2024002004200 = 235211920000911
BaseRepresentation
bin11101011100111111111…
…010111010010011101000
321011111022011211222220121
4131130333322322103220
5231130124003113300
64145451431133024
7266141441113501
oct35347772722350
97144264758817
102024002004200
117104134028a0
12288322214174
13118b2a0b2a17
146dd6848bba8
15379b026781a
hex1d73feba4e8

2024002004200 has 48 divisors (see below), whose sum is σ = 5133605088960. Its totient is φ = 736000728000.

The previous prime is 2024002004183. The next prime is 2024002004201. The reversal of 2024002004200 is 24002004202.

It is a super-2 number, since 2×20240020042002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2024002004201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459998256 + ... + 460002655.

It is an arithmetic number, because the mean of its divisors is an integer number (106950106020).

Almost surely, 22024002004200 is an apocalyptic number.

2024002004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024002004200 is an abundant number, since it is smaller than the sum of its proper divisors (3109603084760).

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

2024002004200 is a wasteful number, since it uses less digits than its factorization.

2024002004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920000938 (or 920000929 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2024002004200 its reverse (24002004202), we get a palindrome (2048004008402).

The spelling of 2024002004200 in words is "two trillion, twenty-four billion, two million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 920000911 1840001822 3680003644 4600004555 7360007288 9200009110 10120010021 18400018220 20240020042 23000022775 36800036440 40480040084 46000045550 50600050105 80960080168 92000091100 101200100210 184000182200 202400200420 253000250525 404800400840 506000501050 1012001002100 2024002004200