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1390222848 = 2937239541
BaseRepresentation
bin101001011011101…
…0001111000000000
310120212221122020010
41102313101320000
510321344112343
6345541144520
746310461560
oct12267217000
93525848203
101390222848
11653821003
123296bb140
13192037491
14d28c8da0
15820b2d33
hex52dd1e00

1390222848 has 160 divisors (see below), whose sum is σ = 4258298880. Its totient is φ = 394813440.

The previous prime is 1390222843. The next prime is 1390222849. The reversal of 1390222848 is 8482220931.

It is a super-2 number, since 2×13902228482 = 3865439134202462208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390222843) by changing a digit.

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, 2569458 + ... + 2569998.

It is an arithmetic number, because the mean of its divisors is an integer number (26614368).

Almost surely, 21390222848 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 1390222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129149440).

1390222848 is an abundant number, since it is smaller than the sum of its proper divisors (2868076032).

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

1390222848 is an equidigital number, since it uses as much as digits as its factorization.

1390222848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1390222848 is about 37285.6922692874. The cubic root of 1390222848 is about 1116.0786676473.

The spelling of 1390222848 in words is "one billion, three hundred ninety million, two hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 239 256 336 384 448 478 512 541 672 717 768 896 956 1082 1344 1434 1536 1623 1673 1792 1912 2164 2688 2868 3246 3346 3584 3787 3824 4328 5019 5376 5736 6492 6692 7574 7648 8656 10038 10752 11361 11472 12984 13384 15148 15296 17312 20076 22722 22944 25968 26768 30296 30592 34624 40152 45444 45888 51936 53536 60592 61184 69248 80304 90888 91776 103872 107072 121184 122368 129299 138496 160608 181776 183552 207744 214144 242368 258598 276992 321216 363552 367104 387897 415488 428288 484736 517196 642432 727104 775794 830976 856576 905093 969472 1034392 1284864 1454208 1551588 1810186 1938944 2068784 2569728 2715279 2908416 3103176 3620372 4137568 5430558 5816832 6206352 7240744 8275136 10861116 12412704 14481488 16550272 21722232 24825408 28962976 33100544 43444464 49650816 57925952 66201088 86888928 99301632 115851904 173777856 198603264 231703808 347555712 463407616 695111424 1390222848