Search a number
-
+
32220782432 = 252343778237
BaseRepresentation
bin11110000000100000…
…100001111101100000
310002011112002100011022
4132000200201331200
51011442010014212
622445123105012
72220314063126
oct360040417540
9102145070138
1032220782432
1112734878813
1262b2812168
1330664c2047
1417b9375916
15c88a9d772
hex780821f60

32220782432 has 24 divisors (see below), whose sum is σ = 66192695856. Its totient is φ = 15409939072.

The previous prime is 32220782393. The next prime is 32220782437. The reversal of 32220782432 is 23428702223.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32220782392 and 32220782401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32220782437) 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 3 ways as a sum of consecutive naturals, for example, 21888383 + ... + 21889854.

It is an arithmetic number, because the mean of its divisors is an integer number (2758028994).

Almost surely, 232220782432 is an apocalyptic number.

32220782432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32220782432 is an abundant number, since it is smaller than the sum of its proper divisors (33971913424).

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

32220782432 is a wasteful number, since it uses less digits than its factorization.

32220782432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43778270 (or 43778262 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 32220782432 in words is "thirty-two billion, two hundred twenty million, seven hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 43778237 87556474 175112948 350225896 700451792 1006899451 1400903584 2013798902 4027597804 8055195608 16110391216 32220782432