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1220111144 = 237193171521
BaseRepresentation
bin100100010111001…
…0110101100101000
310011000212001211122
41020232112230220
54444322024034
6321023114412
742143526230
oct11056265450
93130761748
101220111144
115767a261a
122a0742a08
13165a16375
14b8086cc0
15721ae62e
hex48b96b28

1220111144 has 128 divisors (see below), whose sum is σ = 2886451200. Its totient is φ = 471744000.

The previous prime is 1220111143. The next prime is 1220111159. The reversal of 1220111144 is 4411110221.

It is not an unprimeable number, because it can be changed into a prime (1220111141) 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, 2341604 + ... + 2342124.

It is an arithmetic number, because the mean of its divisors is an integer number (22550400).

Almost surely, 21220111144 is an apocalyptic number.

1220111144 is a gapful number since it is divisible by the number (14) 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 1220111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443225600).

1220111144 is an abundant number, since it is smaller than the sum of its proper divisors (1666340056).

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

1220111144 is a wasteful number, since it uses less digits than its factorization.

1220111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1220111144 is about 34930.0893786432. The cubic root of 1220111144 is about 1068.5621774336.

Adding to 1220111144 its reverse (4411110221), we get a palindrome (5631221365).

The spelling of 1220111144 in words is "one billion, two hundred twenty million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 71 76 124 133 142 152 217 248 266 284 434 497 521 532 568 589 868 994 1042 1064 1178 1349 1736 1988 2084 2201 2356 2698 3647 3976 4123 4168 4402 4712 5396 7294 8246 8804 9443 9899 10792 14588 15407 16151 16492 17608 18886 19798 29176 30814 32302 32984 36991 37772 39596 41819 61628 64604 69293 73982 75544 79192 83638 113057 123256 129208 138586 147964 167276 226114 258937 277172 292733 295928 306869 334552 452228 517874 554344 585466 613738 702829 904456 1035748 1146721 1170932 1227476 1405658 2071496 2148083 2293442 2341864 2454952 2811316 4296166 4586884 4919803 5622632 8027047 8592332 9173768 9839606 16054094 17184664 19679212 21787699 32108188 39358424 43575398 64216376 87150796 152513893 174301592 305027786 610055572 1220111144