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22220311301320 = 235112910722971069
BaseRepresentation
bin1010000110101100100011…
…10000110000110011001000
32220200020111200220001111111
411003112101300300303020
510403024144143120240
6115131511534540104
74452236012466616
oct503262160606310
986606450801444
1022220311301320
1170976434a1360
1225aa541367634
13c5249bb98962
1456b67c58a6b6
152880045461ea
hex143591c30cc8

22220311301320 has 256 divisors, whose sum is σ = 57198273120000. Its totient is φ = 7694719979520.

The previous prime is 22220311301317. The next prime is 22220311301339. The reversal of 22220311301320 is 2310311302222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22220311301291 and 22220311301300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312622746 + ... + 312693814.

It is an arithmetic number, because the mean of its divisors is an integer number (223430754375).

Almost surely, 222220311301320 is an apocalyptic number.

22220311301320 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 22220311301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28599136560000).

22220311301320 is an abundant number, since it is smaller than the sum of its proper divisors (34977961818680).

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

22220311301320 is a wasteful number, since it uses less digits than its factorization.

22220311301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71456 (or 71452 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 22220311301320 its reverse (2310311302222), we get a palindrome (24530622603542).

The spelling of 22220311301320 in words is "twenty-two trillion, two hundred twenty billion, three hundred eleven million, three hundred one thousand, three hundred twenty".