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32223300340 = 225711151138571
BaseRepresentation
bin11110000000101010…
…001000101011110100
310002011200211021002011
4132000222020223310
51011443131102330
622445253054004
72220344351020
oct360052105364
9102150737064
1032223300340
1112736238530
1262b3627304
133066b9412a
1417b982d380
15c88de982a
hex780a88af4

32223300340 has 96 divisors (see below), whose sum is σ = 84925790208. Its totient is φ = 9977040000.

The previous prime is 32223300209. The next prime is 32223300341. The reversal of 32223300340 is 4300332223.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32223300341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163255 + ... + 301825.

It is an arithmetic number, because the mean of its divisors is an integer number (884643648).

Almost surely, 232223300340 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 32223300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42462895104).

32223300340 is an abundant number, since it is smaller than the sum of its proper divisors (52702489868).

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

32223300340 is a wasteful number, since it uses less digits than its factorization.

32223300340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138749 (or 138747 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 32223300340 its reverse (4300332223), we get a palindrome (36523632563).

The spelling of 32223300340 in words is "thirty-two billion, two hundred twenty-three million, three hundred thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 151 154 220 302 308 385 604 755 770 1057 1510 1540 1661 2114 3020 3322 4228 5285 6644 8305 10570 11627 16610 21140 23254 33220 46508 58135 116270 138571 232540 277142 554284 692855 969997 1385710 1524281 1939994 2771420 3048562 3879988 4849985 6097124 7621405 9699970 10669967 15242810 19399940 20924221 21339934 30485620 41848442 42679868 53349835 83696884 104621105 106699670 146469547 209242210 213399340 230166431 292939094 418484420 460332862 585878188 732347735 920665724 1150832155 1464695470 1611165017 2301664310 2929390940 3222330034 4603328620 6444660068 8055825085 16111650170 32223300340