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322274112 = 2634771503
BaseRepresentation
bin10011001101011…
…000001101000000
3211110102012222020
4103031120031000
51130000232422
651551241440
710662166446
oct2315301500
9743365866
10322274112
11155a08346
128bb19280
13519c9354
1430b30b96
151d45d95c
hex13358340

322274112 has 112 divisors (see below), whose sum is σ = 884846592. Its totient is φ = 103452160.

The previous prime is 322274093. The next prime is 322274119. The reversal of 322274112 is 211472223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322274119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640453 + ... + 640955.

It is an arithmetic number, because the mean of its divisors is an integer number (7900416).

Almost surely, 2322274112 is an apocalyptic number.

322274112 is a gapful number since it is divisible by the number (32) 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 322274112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442423296).

322274112 is an abundant number, since it is smaller than the sum of its proper divisors (562572480).

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

322274112 is a wasteful number, since it uses less digits than its factorization.

322274112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 322274112 is about 17951.9946524056. The cubic root of 322274112 is about 685.6068375293.

The spelling of 322274112 in words is "three hundred twenty-two million, two hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 71 94 96 141 142 188 192 213 282 284 376 426 503 564 568 752 852 1006 1128 1136 1504 1509 1704 2012 2256 2272 3008 3018 3337 3408 4024 4512 4544 6036 6674 6816 8048 9024 10011 12072 13348 13632 16096 20022 23641 24144 26696 32192 35713 40044 47282 48288 53392 70923 71426 80088 94564 96576 106784 107139 141846 142852 160176 189128 213568 214278 283692 285704 320352 378256 428556 567384 571408 640704 756512 857112 1134768 1142816 1513024 1678511 1714224 2269536 2285632 3357022 3428448 4539072 5035533 6714044 6856896 10071066 13428088 20142132 26856176 40284264 53712352 80568528 107424704 161137056 322274112