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2211103424 = 26377312791
BaseRepresentation
bin1000001111001010…
…1100001011000000
312201002120200200102
42003302230023000
514012020302144
61003223341532
7105536032445
oct20362541300
95632520612
102211103424
11a35123802
125185b18a8
1329311b52a
1416d92b9cc
15ce1b1b4e
hex83cac2c0

2211103424 has 56 divisors (see below), whose sum is σ = 4568330208. Its totient is φ = 1060853760.

The previous prime is 2211103403. The next prime is 2211103439. The reversal of 2211103424 is 4243011122.

It is a junction number, because it is equal to n+sod(n) for n = 2211103396 and 2211103405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166469 + ... + 179259.

Almost surely, 22211103424 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 2211103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284165104).

2211103424 is an abundant number, since it is smaller than the sum of its proper divisors (2357226784).

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

2211103424 is a wasteful number, since it uses less digits than its factorization.

2211103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12913 (or 12903 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2211103424 is about 47022.3715267531. The cubic root of 2211103424 is about 1302.7758092025.

Adding to 2211103424 its reverse (4243011122), we get a palindrome (6454114546).

The spelling of 2211103424 in words is "two billion, two hundred eleven million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 73 74 146 148 292 296 584 592 1168 1184 2336 2368 2701 4672 5402 10804 12791 21608 25582 43216 51164 86432 102328 172864 204656 409312 473267 818624 933743 946534 1867486 1893068 3734972 3786136 7469944 7572272 14939888 15144544 29879776 30289088 34548491 59759552 69096982 138193964 276387928 552775856 1105551712 2211103424