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22332221422420 = 225713739130312743
BaseRepresentation
bin1010001001111101000000…
…00111111111101101010100
32221001221100220112020102111
411010332200013333231110
510411342342141004140
6115255140401120404
74463310160022350
oct504764007775524
987057326466374
1022332221422420
11713005087a748
122608173929104
13c5cbc5031120
14572c57310460
1528ada419a7ea
hex144fa01ffb54

22332221422420 has 192 divisors, whose sum is σ = 57847205928960. Its totient is φ = 7052245627392.

The previous prime is 22332221422393. The next prime is 22332221422451. The reversal of 22332221422420 is 2422412223322.

It is a super-2 number, since 2×223322214224202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 1752502569 + ... + 1752515311.

It is an arithmetic number, because the mean of its divisors is an integer number (301287530880).

Almost surely, 222332221422420 is an apocalyptic number.

22332221422420 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 22332221422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28923602964480).

22332221422420 is an abundant number, since it is smaller than the sum of its proper divisors (35514984506540).

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

22332221422420 is a wasteful number, since it uses less digits than its factorization.

22332221422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14814 (or 14812 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 22332221422420 its reverse (2422412223322), we get a palindrome (24754633645742).

The spelling of 22332221422420 in words is "twenty-two trillion, three hundred thirty-two billion, two hundred twenty-one million, four hundred twenty-two thousand, four hundred twenty".