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20224002212000 = 255323279337359
BaseRepresentation
bin1001001100100110001000…
…11101111100000010100000
32122121101200111010220010222
410212103010131330002200
510122322224031241000
6111002440042542212
74155064425301226
oct446230435740240
978541614126128
1020224002212000
116497a51012384
122327669507968
13b391661c5002
144dcbbdd92b16
152511155d6a85
hex1264c477c0a0

20224002212000 has 576 divisors, whose sum is σ = 52905334809600. Its totient is φ = 7596042854400.

The previous prime is 20224002211891. The next prime is 20224002212003. The reversal of 20224002212000 is 21220042202.

It is a self number, because there is not a number n which added to its sum of digits gives 20224002212000.

It is not an unprimeable number, because it can be changed into a prime (20224002212003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56334267821 + ... + 56334268179.

It is an arithmetic number, because the mean of its divisors is an integer number (91849539600).

Almost surely, 220224002212000 is an apocalyptic number.

20224002212000 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 20224002212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26452667404800).

20224002212000 is an abundant number, since it is smaller than the sum of its proper divisors (32681332597600).

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

20224002212000 is a wasteful number, since it uses less digits than its factorization.

20224002212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 20224002212000 its reverse (21220042202), we get a palindrome (20245222254202).

The spelling of 20224002212000 in words is "twenty trillion, two hundred twenty-four billion, two million, two hundred twelve thousand".