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2220200110224 = 2435775973597
BaseRepresentation
bin100000010011101110001…
…111010010100010010000
321212020201120012110100000
4200103232033102202100
5242333432212011344
64415540145330000
7316255425362505
oct40235617224220
97766646173300
102220200110224
11786644099858
122ba358636900
13131496853695
147965b6674ac
153cb44a49a69
hex204ee3d2890

2220200110224 has 120 divisors (see below), whose sum is σ = 6444523496320. Its totient is φ = 739961267328.

The previous prime is 2220200110207. The next prime is 2220200110253. The reversal of 2220200110224 is 4220110020222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2220200110197 and 2220200110206.

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 23 ways as a sum of consecutive naturals, for example, 30130194 + ... + 30203790.

Almost surely, 22220200110224 is an apocalyptic number.

2220200110224 is a gapful number since it is divisible by the number (24) 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 2220200110224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222261748160).

2220200110224 is an abundant number, since it is smaller than the sum of its proper divisors (4224323386096).

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

2220200110224 is an equidigital number, since it uses as much as digits as its factorization.

2220200110224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81379 (or 81361 counting only the distinct ones).

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

Adding to 2220200110224 its reverse (4220110020222), we get a palindrome (6440310130446).

The spelling of 2220200110224 in words is "two trillion, two hundred twenty billion, two hundred million, one hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 7759 15518 23277 31036 46554 62072 69831 73597 93108 124144 139662 147194 186216 209493 220791 279324 294388 372432 418986 441582 558648 588776 628479 662373 837972 883164 1117296 1177552 1256958 1324746 1675944 1766328 1885437 1987119 2513916 2649492 3351888 3532656 3770874 3974238 5027832 5298984 5961357 7541748 7948476 10055664 10597968 11922714 15083496 15896952 17884071 23845428 30166992 31793904 35768142 47690856 71536284 95381712 143072568 286145136 571039123 1142078246 1713117369 2284156492 3426234738 4568312984 5139352107 6852469476 9136625968 10278704214 13704938952 15418056321 20557408428 27409877904 30836112642 41114816856 46254168963 61672225284 82229633712 92508337926 123344450568 138762506889 185016675852 246688901136 277525013778 370033351704 555050027556 740066703408 1110100055112 2220200110224