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20240400224200 = 2352132598828409
BaseRepresentation
bin1001001101000100101011…
…10111011000111111001000
32122122222000021220020001011
410212202111313120333020
510123104314424133300
6111014151141133304
74156214662144042
oct446422567307710
978588007806034
1020240400224200
1164a39a6295682
12232a8850ba234
13b3a87a574b00
144dd8d7b2ca92
15251774eebeba
hex126895dd8fc8

20240400224200 has 72 divisors (see below), whose sum is σ = 50957303548950. Its totient is φ = 7473378531840.

The previous prime is 20240400224179. The next prime is 20240400224243. The reversal of 20240400224200 is 242200404202.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 621577713604 + 19618822510596 = 788402^2 + 4429314^2 .

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 17 ways as a sum of consecutive naturals, for example, 299380405 + ... + 299448004.

Almost surely, 220240400224200 is an apocalyptic number.

20240400224200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20240400224200 is an abundant number, since it is smaller than the sum of its proper divisors (30716903324750).

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

20240400224200 is a wasteful number, since it uses less digits than its factorization.

20240400224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598828451 (or 598828429 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 20240400224200 its reverse (242200404202), we get a palindrome (20482600628402).

The spelling of 20240400224200 in words is "twenty trillion, two hundred forty billion, four hundred million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 4225 6760 8450 16900 33800 598828409 1197656818 2395313636 2994142045 4790627272 5988284090 7784769317 11976568180 14970710225 15569538634 23953136360 29941420450 31139077268 38923846585 59882840900 62278154536 77847693170 101202001121 119765681800 155695386340 194619232925 202404002242 311390772680 389238465850 404808004484 506010005605 778476931700 809616008968 1012020011210 1556953863400 2024040022420 2530050028025 4048080044840 5060100056050 10120200112100 20240400224200