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22112466420 = 2235111032391361
BaseRepresentation
bin10100100110000000…
…010111010111110100
32010002001111200101210
4110212000113113310
5330241242411140
614054110521420
71411652602062
oct244600272764
963061450353
1022112466420
119417a02340
124351506270
13211523bb75
1410daa99032
15896446d80
hex5260175f4

22112466420 has 192 divisors, whose sum is σ = 68534968320. Its totient is φ = 5282457600.

The previous prime is 22112466403. The next prime is 22112466421. The reversal of 22112466420 is 2466421122.

It is a super-2 number, since 2×221124664202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112466421) 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, 16246540 + ... + 16247900.

It is an arithmetic number, because the mean of its divisors is an integer number (356952960).

Almost surely, 222112466420 is an apocalyptic number.

22112466420 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 22112466420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34267484160).

22112466420 is an abundant number, since it is smaller than the sum of its proper divisors (46422501900).

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

22112466420 is a wasteful number, since it uses less digits than its factorization.

22112466420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 22112466420 its reverse (2466421122), we get a palindrome (24578887542).

The spelling of 22112466420 in words is "twenty-two billion, one hundred twelve million, four hundred sixty-six thousand, four hundred twenty".