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20225440100 = 2252373542237
BaseRepresentation
bin10010110101100001…
…111011100101100100
31221012112201210221002
4102311201323211210
5312410203040400
613142541212432
71314130255445
oct226541734544
957175653832
1020225440100
118639808558
123b05561118
131ba42cb548
14d9c20b2cc
157d594ced5
hex4b587b964

20225440100 has 36 divisors (see below), whose sum is σ = 44006951604. Its totient is φ = 8068471680.

The previous prime is 20225440087. The next prime is 20225440117. The reversal of 20225440100 is 104452202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 739513636 + 19485926464 = 27194^2 + 139592^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233819 + ... + 308418.

Almost surely, 220225440100 is an apocalyptic number.

20225440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20225440100 is an abundant number, since it is smaller than the sum of its proper divisors (23781511504).

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

20225440100 is a wasteful number, since it uses less digits than its factorization.

20225440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542624 (or 542617 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 20225440100 its reverse (104452202), we get a palindrome (20329892302).

The spelling of 20225440100 in words is "twenty billion, two hundred twenty-five million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 373 746 1492 1865 3730 7460 9325 18650 37300 542237 1084474 2168948 2711185 5422370 10844740 13555925 27111850 54223700 202254401 404508802 809017604 1011272005 2022544010 4045088020 5056360025 10112720050 20225440100