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1101222220 = 225729247199
BaseRepresentation
bin100000110100011…
…0101000101001100
32211202010212220011
41001220311011030
54223403102340
6301135003004
736201143260
oct10150650514
92752125804
101101222220
1151567a60a
12268969464
131471bb0a7
14a637a0a0
1566a280ea
hex41a3514c

1101222220 has 144 divisors (see below), whose sum is σ = 2809497600. Its totient is φ = 354993408.

The previous prime is 1101222193. The next prime is 1101222223. The reversal of 1101222220 is 222221011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1101222220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101222223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5533681 + ... + 5533879.

It is an arithmetic number, because the mean of its divisors is an integer number (19510400).

Almost surely, 21101222220 is an apocalyptic number.

1101222220 is a gapful number since it is divisible by the number (10) 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 1101222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404748800).

1101222220 is an abundant number, since it is smaller than the sum of its proper divisors (1708275380).

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

1101222220 is a wasteful number, since it uses less digits than its factorization.

1101222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1101222220 is about 33184.6684479445. The cubic root of 1101222220 is about 1032.6622992156.

Adding to 1101222220 its reverse (222221011), we get a palindrome (1323443231).

The spelling of 1101222220 in words is "one billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 47 58 70 94 116 140 145 188 199 203 235 290 329 398 406 470 580 658 796 812 841 940 995 1015 1316 1363 1393 1645 1682 1990 2030 2726 2786 3290 3364 3980 4060 4205 5452 5572 5771 5887 6580 6815 6965 8410 9353 9541 11542 11774 13630 13930 16820 18706 19082 23084 23548 27260 27860 28855 29435 37412 38164 39527 40397 46765 47705 57710 58870 65471 79054 80794 93530 95410 115420 117740 130942 158108 161588 167359 187060 190820 197635 201985 261884 271237 276689 327355 334718 395270 403970 542474 553378 654710 669436 790540 807940 836795 1084948 1106756 1171513 1309420 1356185 1383445 1673590 1898659 2343026 2712370 2766890 3347180 3797318 4686052 5424740 5533780 5857565 7594636 7865873 9493295 11715130 15731746 18986590 23430260 31463492 37973180 39329365 55061111 78658730 110122222 157317460 220244444 275305555 550611110 1101222220