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22102223420 = 22541792711259
BaseRepresentation
bin10100100101011001…
…010010101000111100
32010001100020021122102
4110211121102220330
5330231132122140
614053103204232
71411466541104
oct244531225074
963040207572
1022102223420
119412146652
124349ba6678
132113093814
1410d9590204
158955c1e15
hex525652a3c

22102223420 has 96 divisors (see below), whose sum is σ = 48364646400. Its totient is φ = 8477913600.

The previous prime is 22102223411. The next prime is 22102223449. The reversal of 22102223420 is 2432220122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22102223392 and 22102223401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17554751 + ... + 17556009.

It is an arithmetic number, because the mean of its divisors is an integer number (503798400).

Almost surely, 222102223420 is an apocalyptic number.

22102223420 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 22102223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24182323200).

22102223420 is an abundant number, since it is smaller than the sum of its proper divisors (26262422980).

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

22102223420 is a wasteful number, since it uses less digits than its factorization.

22102223420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22102223420 its reverse (2432220122), we get a palindrome (24534443542).

It can be divided in two parts, 221022 and 23420, that added together give a palindrome (244442).

The spelling of 22102223420 in words is "twenty-two billion, one hundred two million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 79 82 158 164 205 271 316 395 410 542 790 820 1084 1259 1355 1580 2518 2710 3239 5036 5420 6295 6478 11111 12590 12956 16195 21409 22222 25180 32390 42818 44444 51619 55555 64780 85636 99461 103238 107045 111110 198922 206476 214090 222220 258095 341189 397844 428180 497305 516190 682378 877769 994610 1032380 1364756 1705945 1755538 1989220 3411890 3511076 4077901 4388845 6823780 8155802 8777690 13988749 16311604 17555380 20389505 26953931 27977498 40779010 53907862 55954996 69943745 81558020 107815724 134769655 139887490 269539310 279774980 539078620 1105111171 2210222342 4420444684 5525555855 11051111710 22102223420