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22420122014112 = 253972407659151
BaseRepresentation
bin1010001100100000101110…
…11010001001000110100000
32221101100020211222221202120
411012100113122021012200
510414312402213422422
6115403354543544240
74502541344515104
oct506202732110640
987340224887676
1022420122014112
117164358427249
1226212055bb080
13c68292c11964
145771d5477904
1528d2eb07a45c
hex1464176891a0

22420122014112 has 48 divisors (see below), whose sum is σ = 59459550417792. Its totient is φ = 7396328908800.

The previous prime is 22420122014099. The next prime is 22420122014161. The reversal of 22420122014112 is 21141022102422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×224201220141122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1203820264 + ... + 1203838887.

It is an arithmetic number, because the mean of its divisors is an integer number (1238740633704).

Almost surely, 222420122014112 is an apocalyptic number.

It is an amenable number.

22420122014112 is an abundant number, since it is smaller than the sum of its proper divisors (37039428403680).

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

22420122014112 is a wasteful number, since it uses less digits than its factorization.

22420122014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407659261 (or 2407659253 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 22420122014112 its reverse (21141022102422), we get a palindrome (43561144116534).

The spelling of 22420122014112 in words is "twenty-two trillion, four hundred twenty billion, one hundred twenty-two million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 9312 2407659151 4815318302 7222977453 9630636604 14445954906 19261273208 28891909812 38522546416 57783819624 77045092832 115567639248 231135278496 233542937647 467085875294 700628812941 934171750588 1401257625882 1868343501176 2802515251764 3736687002352 5605030503528 7473374004704 11210061007056 22420122014112