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201223231220 = 22511171923253101
BaseRepresentation
bin1011101101100111010…
…1101101011011110100
3201020101121000021021102
42323121311231123310
511244101121344340
6232235104105232
720352333146534
oct2733165553364
9636347007242
10201223231220
117837a2a49a0
1232bb9305218
1315c8a88872b
149a4c73b4c4
15537aa4d215
hex2ed9d6d6f4

201223231220 has 576 divisors, whose sum is σ = 552652450560. Its totient is φ = 60622848000.

The previous prime is 201223231199. The next prime is 201223231229. The reversal of 201223231220 is 22132322102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 201223231192 and 201223231201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201223231229) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1992309170 + ... + 1992309270.

It is an arithmetic number, because the mean of its divisors is an integer number (959466060).

Almost surely, 2201223231220 is an apocalyptic number.

201223231220 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 201223231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276326225280).

201223231220 is an abundant number, since it is smaller than the sum of its proper divisors (351429219340).

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

201223231220 is a wasteful number, since it uses less digits than its factorization.

201223231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 201223231220 its reverse (22132322102), we get a palindrome (223355553322).

It can be divided in two parts, 2012 and 23231220, that added together give a palindrome (23233232).

The spelling of 201223231220 in words is "two hundred one billion, two hundred twenty-three million, two hundred thirty-one thousand, two hundred twenty".