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22021222120 = 2352361938669
BaseRepresentation
bin10100100000100100…
…010010111011101000
32002211200210222202021
4110200210102323220
5330044413101440
614041051114224
71406464204522
oct244044227350
962750728667
1022021222120
119380451127
124326a42974
1320cc372761
1410cc906a12
1588d42184a
hex520912ee8

22021222120 has 64 divisors (see below), whose sum is σ = 51786864000. Its totient is φ = 8411682048.

The previous prime is 22021222109. The next prime is 22021222159. The reversal of 22021222120 is 2122212022.

It is a junction number, because it is equal to n+sod(n) for n = 22021222094 and 22021222103.

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, 550146 + ... + 588814.

It is an arithmetic number, because the mean of its divisors is an integer number (809169750).

Almost surely, 222021222120 is an apocalyptic number.

22021222120 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 22021222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25893432000).

22021222120 is an abundant number, since it is smaller than the sum of its proper divisors (29765641880).

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

22021222120 is a wasteful number, since it uses less digits than its factorization.

22021222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39322 (or 39318 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22021222120 its reverse (2122212022), we get a palindrome (24143434142).

The spelling of 22021222120 in words is "twenty-two billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 619 920 1238 2476 3095 4952 6190 12380 14237 24760 28474 38669 56948 71185 77338 113896 142370 154676 193345 284740 309352 386690 569480 773380 889387 1546760 1778774 3557548 4446935 7115096 8893870 17787740 23936111 35575480 47872222 95744444 119680555 191488888 239361110 478722220 550530553 957444440 1101061106 2202122212 2752652765 4404244424 5505305530 11010611060 22021222120