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22420334042420 = 225192916722354631
BaseRepresentation
bin1010001100100001001000…
…00010111101110100110100
32221101100210121222002220212
411012100210002331310310
510414313321003324140
6115403432000244552
74502546530650326
oct506204402756464
987340717862825
1022420334042420
117164457085256
122621264610758
13c682c7b1aab2
145772156ab616
1528d30e9ad765
hex1464240bdd34

22420334042420 has 192 divisors, whose sum is σ = 51808967884800. Its totient is φ = 8117322232320.

The previous prime is 22420334042419. The next prime is 22420334042437. The reversal of 22420334042420 is 2424043302422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410368505 + ... + 410423135.

It is an arithmetic number, because the mean of its divisors is an integer number (269838374400).

Almost surely, 222420334042420 is an apocalyptic number.

22420334042420 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 22420334042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25904483942400).

22420334042420 is an abundant number, since it is smaller than the sum of its proper divisors (29388633842380).

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

22420334042420 is a wasteful number, since it uses less digits than its factorization.

22420334042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55078 (or 55076 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 22420334042420 its reverse (2424043302422), we get a palindrome (24844377344842).

The spelling of 22420334042420 in words is "twenty-two trillion, four hundred twenty billion, three hundred thirty-four million, forty-two thousand, four hundred twenty".