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21970222386000 = 2435371997283831
BaseRepresentation
bin1001111111011010101110…
…10011010000101101010000
32212210022222120110211111020
410333231113103100231100
510334430003412323000
6114420551505315440
74425203410002540
oct477552723205520
985708876424436
1021970222386000
117000578857779
122569b87035b80
13c34a24577765
1455d516031320
15281768a16ba0
hex13fb574d0b50

21970222386000 has 640 divisors, whose sum is σ = 86090196541440. Its totient is φ = 4708399104000.

The previous prime is 21970222385987. The next prime is 21970222386011. The reversal of 21970222386000 is 68322207912.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77264085 + ... + 77547915.

It is an arithmetic number, because the mean of its divisors is an integer number (134515932096).

Almost surely, 221970222386000 is an apocalyptic number.

21970222386000 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 21970222386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43045098270720).

21970222386000 is an abundant number, since it is smaller than the sum of its proper divisors (64119974155440).

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

21970222386000 is a wasteful number, since it uses less digits than its factorization.

21970222386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283980 (or 283964 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 21970222386000 in words is "twenty-one trillion, nine hundred seventy billion, two hundred twenty-two million, three hundred eighty-six thousand".