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1122310220 = 225414213251
BaseRepresentation
bin100001011100101…
…0001100001001100
32220012211021012012
41002321101201030
54244302411340
6303211000352
736545323313
oct10271214114
92805737165
101122310220
11526573309
12273a390b8
1314b6927b5
14a90a927a
15687e1565
hex42e5184c

1122310220 has 48 divisors (see below), whose sum is σ = 2420814816. Its totient is φ = 436800000.

The previous prime is 1122310201. The next prime is 1122310223. The reversal of 1122310220 is 220132211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1122310195 and 1122310204.

It is not an unprimeable number, because it can be changed into a prime (1122310223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343595 + ... + 346845.

It is an arithmetic number, because the mean of its divisors is an integer number (50433642).

Almost surely, 21122310220 is an apocalyptic number.

1122310220 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 1122310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210407408).

1122310220 is an abundant number, since it is smaller than the sum of its proper divisors (1298504596).

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

1122310220 is a wasteful number, since it uses less digits than its factorization.

1122310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1122310220 is about 33500.8987939130. The cubic root of 1122310220 is about 1039.2123659215.

Adding to 1122310220 its reverse (220132211), we get a palindrome (1342442431).

The spelling of 1122310220 in words is "one billion, one hundred twenty-two million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 421 820 842 1684 2105 3251 4210 6502 8420 13004 16255 17261 32510 34522 65020 69044 86305 133291 172610 266582 345220 533164 666455 1332910 1368671 2665820 2737342 5474684 6843355 13686710 27373420 56115511 112231022 224462044 280577555 561155110 1122310220