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10222274736 = 2433181239547
BaseRepresentation
bin10011000010100101…
…11000100010110000
3222101102000100202000
421201102320202300
5131413400242421
64410202454000
7511213621152
oct114122704260
928342010660
1010222274736
114376231343
121b93504300
13c6ba7339b
146cd8a2ad2
153ec667226
hex2614b88b0

10222274736 has 160 divisors (see below), whose sum is σ = 29681433600. Its totient is φ = 3368252160.

The previous prime is 10222274723. The next prime is 10222274761. The reversal of 10222274736 is 63747222201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10222274736.

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 31 ways as a sum of consecutive naturals, for example, 18687615 + ... + 18688161.

It is an arithmetic number, because the mean of its divisors is an integer number (185508960).

Almost surely, 210222274736 is an apocalyptic number.

10222274736 is a gapful number since it is divisible by the number (16) 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 10222274736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14840716800).

10222274736 is an abundant number, since it is smaller than the sum of its proper divisors (19459158864).

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

10222274736 is a wasteful number, since it uses less digits than its factorization.

10222274736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 10222274736 its reverse (63747222201), we get a palindrome (73969496937).

The spelling of 10222274736 in words is "ten billion, two hundred twenty-two million, two hundred seventy-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 181 216 239 362 432 478 543 547 717 724 956 1086 1094 1434 1448 1629 1641 1912 2151 2172 2188 2868 2896 3258 3282 3824 4302 4344 4376 4887 4923 5736 6453 6516 6564 8604 8688 8752 9774 9846 11472 12906 13032 13128 14769 17208 19548 19692 25812 26064 26256 29538 34416 39096 39384 43259 51624 59076 78192 78768 86518 99007 103248 118152 129777 130733 173036 198014 236304 259554 261466 297021 346072 389331 392199 396028 519108 522932 594042 692144 778662 784398 792056 891063 1038216 1045864 1167993 1176597 1188084 1557324 1568796 1584112 1782126 2076432 2091728 2335986 2353194 2376168 2673189 3114648 3137592 3529791 3564252 4671972 4706388 4752336 5346378 6229296 6275184 7059582 7128504 9343944 9412776 10692756 14119164 14257008 18687888 18825552 21385512 23662673 28238328 42771024 47325346 56476656 70988019 94650692 141976038 189301384 212964057 283952076 378602768 425928114 567904152 638892171 851856228 1135808304 1277784342 1703712456 2555568684 3407424912 5111137368 10222274736