Search a number
-
+
2024000202200 = 2352103111787961
BaseRepresentation
bin11101011100111111110…
…100000010010111011000
321011111022001110110000212
4131130333310002113120
5231130123022432300
64145451324350252
7266141416600034
oct35347764022730
97144261413025
102024000202200
11710412391a39
122883216a5388
13118b29901752
146dd6813d1c4
15379b000d935
hex1d73fd025d8

2024000202200 has 96 divisors (see below), whose sum is σ = 4755795713760. Its totient is φ = 801013017600.

The previous prime is 2024000202187. The next prime is 2024000202221. The reversal of 2024000202200 is 22020004202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22966220 + ... + 23054180.

It is an arithmetic number, because the mean of its divisors is an integer number (49539538685).

Almost surely, 22024000202200 is an apocalyptic number.

2024000202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024000202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377897856880).

2024000202200 is an abundant number, since it is smaller than the sum of its proper divisors (2731795511560).

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

2024000202200 is a wasteful number, since it uses less digits than its factorization.

2024000202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89197 (or 89188 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 2024000202200 its reverse (22020004202), we get a palindrome (2046020206402).

The spelling of 2024000202200 in words is "two trillion, twenty-four billion, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 1117 2060 2234 2575 4120 4468 5150 5585 8936 10300 11170 20600 22340 27925 44680 55850 87961 111700 115051 175922 223400 230102 351844 439805 460204 575255 703688 879610 920408 1150510 1759220 2199025 2301020 2876275 3518440 4398050 4602040 5752550 8796100 9059983 11505100 17592200 18119966 23010200 36239932 45299915 72479864 90599830 98252437 181199660 196504874 226499575 362399320 393009748 452999150 491262185 786019496 905998300 982524370 1811996600 1965048740 2456310925 3930097480 4912621850 9825243700 10120001011 19650487400 20240002022 40480004044 50600005055 80960008088 101200010110 202400020220 253000025275 404800040440 506000050550 1012000101100 2024000202200