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22908189312 = 2736245501
BaseRepresentation
bin10101010101011011…
…110011101010000000
32012010111210121000000
4111111123303222000
5333403444024222
614305054000000
71440454252641
oct252533635200
965114717000
1022908189312
119796091768
124533aa6000
132211055008
14117462d6c8
158e12269ac
hex5556f3a80

22908189312 has 112 divisors (see below), whose sum is σ = 68425089930. Its totient is φ = 7636032000.

The previous prime is 22908189281. The next prime is 22908189329. The reversal of 22908189312 is 21398180922.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22796168256 + 112021056 = 150984^2 + 10584^2 .

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 29439 + ... + 216062.

Almost surely, 222908189312 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 22908189312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34212544965).

22908189312 is an abundant number, since it is smaller than the sum of its proper divisors (45516900618).

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

22908189312 is an frugal number, since it uses more digits than its factorization.

22908189312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245533 (or 245506 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 22908189312 in words is "twenty-two billion, nine hundred eight million, one hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 46656 93312 245501 491002 736503 982004 1473006 1964008 2209509 2946012 3928016 4419018 5892024 6628527 7856032 8838036 11784048 13257054 15712064 17676072 19885581 23568096 26514108 31424128 35352144 39771162 47136192 53028216 59656743 70704288 79542324 94272384 106056432 119313486 141408576 159084648 178970229 212112864 238626972 282817152 318169296 357940458 424225728 477253944 636338592 715880916 848451456 954507888 1272677184 1431761832 1909015776 2545354368 2863523664 3818031552 5727047328 7636063104 11454094656 22908189312