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220420004420 = 225711143129873
BaseRepresentation
bin1100110101001000001…
…1100101101001000100
3210001221110010101111102
43031102003211221010
512102410010120140
6245132021355232
721632133060410
oct3152203455104
9701843111442
10220420004420
1185530389810
1236876268b18
1317a29a20825
14a950097d40
155b01005e15
hex33520e5a44

220420004420 has 48 divisors (see below), whose sum is σ = 577099651968. Its totient is φ = 68702338560.

The previous prime is 220420004393. The next prime is 220420004443. The reversal of 220420004420 is 24400024022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220420004392 and 220420004401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71563397 + ... + 71566476.

It is an arithmetic number, because the mean of its divisors is an integer number (12022909416).

Almost surely, 2220420004420 is an apocalyptic number.

220420004420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220420004420 is an abundant number, since it is smaller than the sum of its proper divisors (356679647548).

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

220420004420 is a wasteful number, since it uses less digits than its factorization.

220420004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143129900 (or 143129898 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 220420004420 its reverse (24400024022), we get a palindrome (244820028442).

The spelling of 220420004420 in words is "two hundred twenty billion, four hundred twenty million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 143129873 286259746 572519492 715649365 1001909111 1431298730 1574428603 2003818222 2862597460 3148857206 4007636444 5009545555 6297714412 7872143015 10019091110 11021000221 15744286030 20038182220 22042000442 31488572060 44084000884 55105001105 110210002210 220420004420