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220000222112 = 25111789413087
BaseRepresentation
bin1100110011100100001…
…0001111101110100000
3210000212012020020102112
43030321002033232200
512101030024101422
6245022224134452
721615545014316
oct3147102175640
9700765206375
10220000222112
1185335432090
1236779767428
1317990a73c28
14a9104240b6
155ac9235ee2
hex333908fba0

220000222112 has 96 divisors (see below), whose sum is σ = 505917135360. Its totient is φ = 93060014080.

The previous prime is 220000222103. The next prime is 220000222147. The reversal of 220000222112 is 211222000022.

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, 326033 + ... + 739119.

It is an arithmetic number, because the mean of its divisors is an integer number (5269970160).

Almost surely, 2220000222112 is an apocalyptic number.

220000222112 is a gapful number since it is divisible by the number (22) 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 220000222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252958567680).

220000222112 is an abundant number, since it is smaller than the sum of its proper divisors (285916913248).

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

220000222112 is a wasteful number, since it uses less digits than its factorization.

220000222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413214 (or 413206 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220000222112 its reverse (211222000022), we get a palindrome (431222222134).

It can be divided in two parts, 22000022 and 2112, that multiplied together give a palindrome (46464046464).

The spelling of 220000222112 in words is "two hundred twenty billion, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 89 136 176 178 187 272 352 356 374 544 712 748 979 1424 1496 1513 1958 2848 2992 3026 3916 5984 6052 7832 12104 15664 16643 24208 31328 33286 48416 66572 133144 266288 413087 532576 826174 1652348 3304696 4543957 6609392 7022479 9087914 13218784 14044958 18175828 28089916 36351656 36764743 56179832 72703312 73529486 77247269 112359664 145406624 147058972 154494538 224719328 294117944 308989076 404412173 588235888 617978152 625000631 808824346 1176471776 1235956304 1250001262 1617648692 2471912608 2500002524 3235297384 5000005048 6470594768 6875006941 10000010096 12941189536 13750013882 20000020192 27500027764 55000055528 110000111056 220000222112