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232022001000 = 23353176536967
BaseRepresentation
bin1101100000010110010…
…1101100010101101000
3211011220000022212210110
43120011211230111220
512300140113013000
6254331152414320
722522502316336
oct3300545542550
9734800285713
10232022001000
118a444409539
1238b738473a0
1318b5859276a
14b330cb0b56
15607e859850
hex360596c568

232022001000 has 256 divisors, whose sum is σ = 767775490560. Its totient is φ = 58135449600.

The previous prime is 232022000989. The next prime is 232022001011. The reversal of 232022001000 is 100220232.

232022001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232022000989) and next prime (232022001011).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 33299517 + ... + 33306483.

It is an arithmetic number, because the mean of its divisors is an integer number (2999123010).

Almost surely, 2232022001000 is an apocalyptic number.

232022001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232022001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383887745280).

232022001000 is an abundant number, since it is smaller than the sum of its proper divisors (535753489560).

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

232022001000 is a wasteful number, since it uses less digits than its factorization.

232022001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7647 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 232022001000 its reverse (100220232), we get a palindrome (232122221232).

It can be divided in two parts, 23202 and 2001000, that added together give a palindrome (2024202).

The spelling of 232022001000 in words is "two hundred thirty-two billion, twenty-two million, one thousand".