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20220323220000 = 253454101123581
BaseRepresentation
bin1001001100011111010010…
…01011101100101000100000
32122121001012002110201220000
410212033221023230220200
510122242210221020000
6111001031021220000
74154604313342101
oct446175113545040
978531162421800
1020220323220000
116496433351222
122326a01401600
13b389cac48577
144dc9515203a8
15250e9c620000
hex1263e92eca20

20220323220000 has 600 divisors, whose sum is σ = 75046828711932. Its totient is φ = 5338656000000.

The previous prime is 20220323219981. The next prime is 20220323220047. The reversal of 20220323220000 is 2232302202.

It can be written as a sum of positive squares in 10 ways, for example, as 2386517904 + 20217936702096 = 48852^2 + 4496436^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×202203232200002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 163558210 + ... + 163681790.

Almost surely, 220220323220000 is an apocalyptic number.

20220323220000 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 20220323220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37523414355966).

20220323220000 is an abundant number, since it is smaller than the sum of its proper divisors (54826505491932).

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

20220323220000 is a wasteful number, since it uses less digits than its factorization.

20220323220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123724 (or 123692 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20220323220000 its reverse (2232302202), we get a palindrome (20222555522202).

The spelling of 20220323220000 in words is "twenty trillion, two hundred twenty billion, three hundred twenty-three million, two hundred twenty thousand".