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66202000224 = 2531877367397
BaseRepresentation
bin111101101001111100…
…100101101101100000
320022212201202001122020
4331221330211231200
52041040203001344
650225054341440
74532355501003
oct755174455540
9208781661566
1066202000224
1126092337688
12109b6aba880
1363206307c9
1432c044553a
151ac6e8c719
hexf69f25b60

66202000224 has 48 divisors (see below), whose sum is σ = 173873307888. Its totient is φ = 22055516672.

The previous prime is 66202000199. The next prime is 66202000231. The reversal of 66202000224 is 42200020266.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 66202000194 and 66202000203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3507 + ... + 363890.

It is an arithmetic number, because the mean of its divisors is an integer number (3622360581).

Almost surely, 266202000224 is an apocalyptic number.

It is an amenable number.

66202000224 is an abundant number, since it is smaller than the sum of its proper divisors (107671307664).

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

66202000224 is a wasteful number, since it uses less digits than its factorization.

66202000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369287 (or 369279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 66202000224 in words is "sixty-six billion, two hundred two million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1877 3754 5631 7508 11262 15016 22524 30032 45048 60064 90096 180192 367397 734794 1102191 1469588 2204382 2939176 4408764 5878352 8817528 11756704 17635056 35270112 689604169 1379208338 2068812507 2758416676 4137625014 5516833352 8275250028 11033666704 16550500056 22067333408 33101000112 66202000224