Search a number
-
+
1222311120 = 243543831427
BaseRepresentation
bin100100011011010…
…1111110011010000
310011011222211122020
41020312233303100
510000402423440
6321142211440
742201321162
oct11066576320
93134884566
101222311120
11577a65488
122a1423b80
13166306824
14b849a932
15724963d0
hex48dafcd0

1222311120 has 160 divisors (see below), whose sum is σ = 3926748672. Its totient is φ = 314313216.

The previous prime is 1222311109. The next prime is 1222311127. The reversal of 1222311120 is 211132221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1222311120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222311127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 855847 + ... + 857273.

Almost surely, 21222311120 is an apocalyptic number.

1222311120 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 1222311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963374336).

1222311120 is an abundant number, since it is smaller than the sum of its proper divisors (2704437552).

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

1222311120 is a wasteful number, since it uses less digits than its factorization.

1222311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1222311120 is about 34961.5663264677. The cubic root of 1222311120 is about 1069.2040314314.

Adding to 1222311120 its reverse (211132221), we get a palindrome (1433443341).

The spelling of 1222311120 in words is "one billion, two hundred twenty-two million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 83 86 120 129 166 172 215 240 249 258 332 344 415 430 498 516 645 664 688 830 860 996 1032 1245 1290 1328 1427 1660 1720 1992 2064 2490 2580 2854 3320 3440 3569 3984 4281 4980 5160 5708 6640 7135 7138 8562 9960 10320 10707 11416 14270 14276 17124 17845 19920 21405 21414 22832 28540 28552 34248 35690 42810 42828 53535 57080 57104 61361 68496 71380 85620 85656 107070 114160 118441 122722 142760 171240 171312 184083 214140 236882 245444 285520 306805 342480 355323 368166 428280 473764 490888 592205 613610 710646 736332 856560 920415 947528 981776 1184410 1227220 1421292 1472664 1776615 1840830 1895056 2368820 2454440 2842584 2945328 3553230 3681660 4737640 4908880 5092963 5685168 7106460 7363320 9475280 10185926 14212920 14726640 15278889 20371852 25464815 28425840 30557778 40743704 50929630 61115556 76394445 81487408 101859260 122231112 152788890 203718520 244462224 305577780 407437040 611155560 1222311120