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2220001420 = 22571319431493
BaseRepresentation
bin1000010001010010…
…1000100010001100
312201201022202102211
42010110220202030
514021310021140
61004142200204
7106004462230
oct20424504214
95651282384
102220001420
11a3a150a1a
1251b583064
13294c15610
14170ba65c0
15ced6d2ea
hex8452888c

2220001420 has 192 divisors, whose sum is σ = 6184442880. Its totient is φ = 649700352.

The previous prime is 2220001411. The next prime is 2220001429. The reversal of 2220001420 is 241000222.

It is an interprime number because it is at equal distance from previous prime (2220001411) and next prime (2220001429).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2220001420.

It is not an unprimeable number, because it can be changed into a prime (2220001429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1486194 + ... + 1487686.

It is an arithmetic number, because the mean of its divisors is an integer number (32210640).

Almost surely, 22220001420 is an apocalyptic number.

2220001420 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 2220001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092221440).

2220001420 is an abundant number, since it is smaller than the sum of its proper divisors (3964441460).

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

2220001420 is a wasteful number, since it uses less digits than its factorization.

2220001420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2220001420 is about 47116.8910264674. The cubic root of 2220001420 is about 1304.5210281615.

Adding to 2220001420 its reverse (241000222), we get a palindrome (2461001642).

The spelling of 2220001420 in words is "two billion, two hundred twenty million, one thousand, four hundred twenty".