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23023222002 = 2331123523603
BaseRepresentation
bin10101011100010010…
…100111110011110010
32012102112020212012000
4111130102213303302
5334122421101002
614324323314430
71443352105134
oct253422476362
965375225160
1023023222002
119845010500
12456651ba16
13222bb2ccb1
141185a15054
158eb39a61c
hex55c4a7cf2

23023222002 has 48 divisors (see below), whose sum is σ = 56236719840. Its totient is φ = 6976731960.

The previous prime is 23023221997. The next prime is 23023222007. The reversal of 23023222002 is 20022232032.

23023222002 is a `hidden beast` number, since 230 + 232 + 2 + 200 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (23023221997) and next prime (23023222007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23023222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1755268 + ... + 1768335.

It is an arithmetic number, because the mean of its divisors is an integer number (1171598330).

Almost surely, 223023222002 is an apocalyptic number.

23023222002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

23023222002 is an abundant number, since it is smaller than the sum of its proper divisors (33213497838).

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

23023222002 is a wasteful number, since it uses less digits than its factorization.

23023222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523636 (or 3523619 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 23023222002 its reverse (20022232032), we get a palindrome (43045454034).

It can be divided in two parts, 2302322 and 2002, that added together give a square (2304324 = 15182).

The spelling of 23023222002 in words is "twenty-three billion, twenty-three million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 3523603 7047206 10570809 21141618 31712427 38759633 63424854 77519266 95137281 116278899 190274562 232557798 348836697 426355963 697673394 852711926 1046510091 1279067889 2093020182 2558135778 3837203667 7674407334 11511611001 23023222002