Search a number
-
+
1222111200 = 253521074759
BaseRepresentation
bin100100011010111…
…1110111111100000
310011011121200101210
41020311332333200
510000330024300
6321134030120
742166526262
oct11065767740
93134550353
101222111200
11577939262
122a1348340
1316626682b
14b8447b32
1572457050
hex48d7efe0

1222111200 has 144 divisors (see below), whose sum is σ = 4015992960. Its totient is φ = 322782720.

The previous prime is 1222111169. The next prime is 1222111201. The reversal of 1222111200 is 21112221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222111201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254421 + ... + 259179.

It is an arithmetic number, because the mean of its divisors is an integer number (27888840).

Almost surely, 21222111200 is an apocalyptic number.

1222111200 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 1222111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007996480).

1222111200 is an abundant number, since it is smaller than the sum of its proper divisors (2793881760).

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

1222111200 is a wasteful number, since it uses less digits than its factorization.

1222111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1222111200 is about 34958.7070699132. The cubic root of 1222111200 is about 1069.1457356011.

Adding to 1222111200 its reverse (21112221), we get a palindrome (1243223421).

The spelling of 1222111200 in words is "one billion, two hundred twenty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 107 120 150 160 200 214 240 300 321 400 428 480 535 600 642 800 856 1070 1200 1284 1605 1712 2140 2400 2568 2675 3210 3424 4280 4759 5136 5350 6420 8025 8560 9518 10272 10700 12840 14277 16050 17120 19036 21400 23795 25680 28554 32100 38072 42800 47590 51360 57108 64200 71385 76144 85600 95180 114216 118975 128400 142770 152288 190360 228432 237950 256800 285540 356925 380720 456864 475900 509213 571080 713850 761440 951800 1018426 1142160 1427700 1527639 1903600 2036852 2284320 2546065 2855400 3055278 3807200 4073704 5092130 5710800 6110556 7638195 8147408 10184260 11421600 12221112 12730325 15276390 16294816 20368520 24442224 25460650 30552780 38190975 40737040 48884448 50921300 61105560 76381950 81474080 101842600 122211120 152763900 203685200 244422240 305527800 407370400 611055600 1222111200