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220232454100 = 22526136103681
BaseRepresentation
bin1100110100011011100…
…0001000111111010100
3210001110101012211211021
43031012320020333110
512102014002012400
6245101241450524
721624364654441
oct3150670107724
9701411184737
10220232454100
118544452a44a
12368234a0a44
13179c9c050c9
14a9331d69c8
155ade80a71a
hex3346e08fd4

220232454100 has 36 divisors (see below), whose sum is σ = 485738937628. Its totient is φ = 86648832000.

The previous prime is 220232454061. The next prime is 220232454107. The reversal of 220232454100 is 1454232022.

220232454100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3581304336 + 216651149764 = 59844^2 + 465458^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220232454107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18045741 + ... + 18057940.

Almost surely, 2220232454100 is an apocalyptic number.

220232454100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220232454100 is an abundant number, since it is smaller than the sum of its proper divisors (265506483528).

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

220232454100 is a wasteful number, since it uses less digits than its factorization.

220232454100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36103756 (or 36103749 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 220232454100 its reverse (1454232022), we get a palindrome (221686686122).

The spelling of 220232454100 in words is "two hundred twenty billion, two hundred thirty-two million, four hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 36103681 72207362 144414724 180518405 361036810 722073620 902592025 1805184050 2202324541 3610368100 4404649082 8809298164 11011622705 22023245410 44046490820 55058113525 110116227050 220232454100