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1024222144 = 26113171661
BaseRepresentation
bin111101000011000…
…110001111000000
32122101020212122111
4331003012033000
54044200102034
6245344345104
734244513251
oct7503061700
92571225574
101024222144
11486168290
12247015194
1313426b30a
149a054b28
155edb8364
hex3d0c63c0

1024222144 has 112 divisors (see below), whose sum is σ = 2324477952. Its totient is φ = 443520000.

The previous prime is 1024222093. The next prime is 1024222207. The reversal of 1024222144 is 4412224201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549174 + ... + 1549834.

Almost surely, 21024222144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162238976).

1024222144 is an abundant number, since it is smaller than the sum of its proper divisors (1300255808).

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

1024222144 is a wasteful number, since it uses less digits than its factorization.

1024222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1024222144 is about 32003.4708117729. The cubic root of 1024222144 is about 1008.0097210787.

Adding to 1024222144 its reverse (4412224201), we get a palindrome (5436446345).

The spelling of 1024222144 in words is "one billion, twenty-four million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 71 88 124 142 176 248 284 341 352 496 568 661 682 704 781 992 1136 1322 1364 1562 1984 2201 2272 2644 2728 3124 4402 4544 5288 5456 6248 7271 8804 10576 10912 12496 14542 17608 20491 21152 21824 24211 24992 29084 35216 40982 42304 46931 48422 49984 58168 70432 81964 93862 96844 116336 140864 163928 187724 193688 225401 232672 327856 375448 387376 450802 465344 516241 655712 750896 774752 901604 1032482 1311424 1454861 1501792 1549504 1803208 2064964 2909722 3003584 3606416 4129928 5819444 7212832 8259856 11638888 14425664 16003471 16519712 23277776 32006942 33039424 46555552 64013884 93111104 128027768 256055536 512111072 1024222144