Search a number
-
+
9214028802 = 235114736671
BaseRepresentation
bin10001001010011001…
…01110110000000010
3212210010211011100000
420211030232300002
5122332242410202
64122144340430
7444221644506
oct104514566002
925703734300
109214028802
1139a9096240
121951914716
13b3ac09b64
14635a0a306
1538dda791c
hex22532ec02

9214028802 has 96 divisors (see below), whose sum is σ = 23066394624. Its totient is φ = 2732648400.

The previous prime is 9214028801. The next prime is 9214028807. The reversal of 9214028802 is 2088204129.

It is not an unprimeable number, because it can be changed into a prime (9214028801) 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 47 ways as a sum of consecutive naturals, for example, 232927 + ... + 269597.

It is an arithmetic number, because the mean of its divisors is an integer number (240274944).

Almost surely, 29214028802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9214028802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11533197312).

9214028802 is an abundant number, since it is smaller than the sum of its proper divisors (13852365822).

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

9214028802 is a wasteful number, since it uses less digits than its factorization.

9214028802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36746 (or 36734 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9214028802 is about 95989.7327947109. The cubic root of 9214028802 is about 2096.4436255362.

The spelling of 9214028802 in words is "nine billion, two hundred fourteen million, twenty-eight thousand, eight hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 81 94 99 141 162 198 243 282 297 423 486 517 594 846 891 1034 1269 1551 1782 2538 2673 3102 3807 4653 5346 7614 9306 11421 13959 22842 27918 36671 41877 73342 83754 110013 125631 220026 251262 330039 403381 660078 806762 990117 1210143 1723537 1980234 2420286 2970351 3447074 3630429 5170611 5940702 7260858 8911053 10341222 10891287 15511833 17822106 18958907 21782574 31023666 32673861 37917814 46535499 56876721 65347722 93070998 98021583 113753442 139606497 170630163 196043166 279212994 341260326 418819491 511890489 837638982 1023780978 1535671467 3071342934 4607014401 9214028802