Search a number
-
+
32266220840 = 23576110318341
BaseRepresentation
bin11110000011001101…
…110111010100101000
310002021200120211221022
4132003031313110220
51012040123031330
622453425032012
72221405231460
oct360315672450
9102250524838
1032266220840
1112758493317
126305a85608
133072a41089
1417c1402ba0
15c8ca76ae5
hex783377528

32266220840 has 128 divisors (see below), whose sum is σ = 85153835520. Its totient is φ = 10775116800.

The previous prime is 32266220809. The next prime is 32266220873. The reversal of 32266220840 is 4802266223.

It is a super-2 number, since 2×322662208402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 32266220840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1750070 + ... + 1768410.

It is an arithmetic number, because the mean of its divisors is an integer number (665264340).

Almost surely, 232266220840 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 32266220840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42576917760).

32266220840 is an abundant number, since it is smaller than the sum of its proper divisors (52887614680).

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

32266220840 is a wasteful number, since it uses less digits than its factorization.

32266220840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18523 (or 18519 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 32266220840 in words is "thirty-two billion, two hundred sixty-six million, two hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 103 122 140 206 244 280 305 412 427 488 515 610 721 824 854 1030 1220 1442 1708 2060 2135 2440 2884 3416 3605 4120 4270 5768 6283 7210 8540 12566 14420 17080 18341 25132 28840 31415 36682 43981 50264 62830 73364 87962 91705 125660 128387 146728 175924 183410 219905 251320 256774 351848 366820 439810 513548 641935 733640 879620 1027096 1118801 1283870 1759240 1889123 2237602 2567740 3778246 4475204 5135480 5594005 7556492 7831607 8950408 9445615 11188010 13223861 15112984 15663214 18891230 22376020 26447722 31326428 37782460 39158035 44752040 52895444 62652856 66119305 75564920 78316070 105790888 115236503 132238610 156632140 230473006 264477220 313264280 460946012 528954440 576182515 806655521 921892024 1152365030 1613311042 2304730060 3226622084 4033277605 4609460120 6453244168 8066555210 16133110420 32266220840