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2220022220112 = 2432831071735933
BaseRepresentation
bin100000010011100011101…
…000101100010101010000
321212020021011110200222100
4200103203220230111100
5242333101142020422
64415510352440400
7316251135342444
oct40234350542520
97766234420870
102220022220112
11786562738334
122ba308b49100
13131468a3ac68
1479641b9c824
153cb3410b7ac
hex204e3a2c550

2220022220112 has 120 divisors (see below), whose sum is σ = 6346602478944. Its totient is φ = 724258605312.

The previous prime is 2220022220111. The next prime is 2220022220123. The reversal of 2220022220112 is 2110222200222.

It is a super-3 number, since 3×22200222201123 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220022220111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410898 + ... + 2146830.

Almost surely, 22220022220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220022220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173301239472).

2220022220112 is an abundant number, since it is smaller than the sum of its proper divisors (4126580258832).

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

2220022220112 is a wasteful number, since it uses less digits than its factorization.

2220022220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736137 (or 1736128 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2220022220112 its reverse (2110222200222), we get a palindrome (4330244420334).

The spelling of 2220022220112 in words is "two trillion, two hundred twenty billion, twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 107 144 166 214 249 321 332 428 498 642 664 747 856 963 996 1284 1328 1494 1712 1926 1992 2568 2988 3852 3984 5136 5976 7704 8881 11952 15408 17762 26643 35524 53286 71048 79929 106572 142096 159858 213144 319716 426288 639432 1278864 1735933 3471866 5207799 6943732 10415598 13887464 15623397 20831196 27774928 31246794 41662392 62493588 83324784 124987176 144082439 185744831 249974352 288164878 371489662 432247317 557234493 576329756 742979324 864494634 1114468986 1152659512 1296741951 1485958648 1671703479 1728989268 2228937972 2305319024 2593483902 2971917296 3343406958 3457978536 4457875944 5186967804 6686813916 6915957072 8915751888 10373935608 13373627832 15416820973 20747871216 26747255664 30833641946 46250462919 61667283892 92500925838 123334567784 138751388757 185001851676 246669135568 277502777514 370003703352 555005555028 740007406704 1110011110056 2220022220112