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223021114020 = 2233517151349461
BaseRepresentation
bin1100111110110100011…
…0000010001010100100
3210022122201120110002000
43033231012002022210
512123221401122040
6250242100245300
722053446122335
oct3175506021244
9708581513060
10223021114020
1186645671971
12372813a0830
1318052891833
14ab1970828c
155c04555130
hex33ed1822a4

223021114020 has 384 divisors, whose sum is σ = 743250816000. Its totient is φ = 55323648000.

The previous prime is 223021113971. The next prime is 223021114051. The reversal of 223021114020 is 20411120322.

It is a happy number.

223021114020 is a `hidden beast` number, since 2 + 230 + 21 + 11 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223021113984 and 223021114002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 483776590 + ... + 483777050.

It is an arithmetic number, because the mean of its divisors is an integer number (1935549000).

Almost surely, 2223021114020 is an apocalyptic number.

223021114020 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 223021114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371625408000).

223021114020 is an abundant number, since it is smaller than the sum of its proper divisors (520229701980).

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

223021114020 is a wasteful number, since it uses less digits than its factorization.

223021114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 223021114020 its reverse (20411120322), we get a palindrome (243432234342).

The spelling of 223021114020 in words is "two hundred twenty-three billion, twenty-one million, one hundred fourteen thousand, twenty".