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1122401140 = 225753331457
BaseRepresentation
bin100001011100110…
…0111101101110100
32220012222212220121
41002321213231310
54244313314030
6303212541324
736546152350
oct10271475564
92805885817
101122401140
11526625653
12273a81844
1314b6c4cb3
14a90d0460
156880d47a
hex42e67b74

1122401140 has 96 divisors (see below), whose sum is σ = 2758904064. Its totient is φ = 375598080.

The previous prime is 1122401069. The next prime is 1122401141. The reversal of 1122401140 is 411042211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122401141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2455792 + ... + 2456248.

It is an arithmetic number, because the mean of its divisors is an integer number (28738584).

Almost surely, 21122401140 is an apocalyptic number.

1122401140 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 1122401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379452032).

1122401140 is an abundant number, since it is smaller than the sum of its proper divisors (1636502924).

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

1122401140 is a wasteful number, since it uses less digits than its factorization.

1122401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1122401140 is about 33502.2557449495. The cubic root of 1122401140 is about 1039.2404278707.

Adding to 1122401140 its reverse (411042211), we get a palindrome (1533443351).

The spelling of 1122401140 in words is "one billion, one hundred twenty-two million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 331 371 457 530 662 742 914 1060 1324 1484 1655 1828 1855 2285 2317 3199 3310 3710 4570 4634 6398 6620 7420 9140 9268 11585 12796 15995 17543 23170 24221 31990 35086 46340 48442 63980 70172 87715 96884 121105 122801 151267 169547 175430 242210 245602 302534 339094 350860 484420 491204 605068 614005 678188 756335 847735 1058869 1228010 1512670 1695470 2117738 2456020 3025340 3390940 4235476 5294345 8017151 10588690 16034302 21177380 32068604 40085755 56120057 80171510 112240114 160343020 224480228 280600285 561200570 1122401140