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66200148 = 22327443593
BaseRepresentation
bin1111110010001…
…0001001010100
311121120022112100
43330202021110
5113421401043
610322522100
71432456230
oct374421124
9147508470
1066200148
1134406173
121a206330
131093b0b1
148b135c0
155c29cd3
hex3f22254

66200148 has 72 divisors (see below), whose sum is σ = 191999808. Its totient is φ = 18839808.

The previous prime is 66200137. The next prime is 66200153. The reversal of 66200148 is 84100266.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111340 + ... + 111932.

It is an arithmetic number, because the mean of its divisors is an integer number (2666664).

Almost surely, 266200148 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 66200148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95999904).

66200148 is an abundant number, since it is smaller than the sum of its proper divisors (125799660).

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

66200148 is a wasteful number, since it uses less digits than its factorization.

66200148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 66200148 is about 8136.3473377186. The cubic root of 66200148 is about 404.5320979519.

The spelling of 66200148 in words is "sixty-six million, two hundred thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 443 593 886 1186 1329 1772 1779 2372 2658 3101 3558 3987 4151 5316 5337 6202 7116 7974 8302 9303 10674 12404 12453 15948 16604 18606 21348 24906 27909 37212 37359 49812 55818 74718 111636 149436 262699 525398 788097 1050796 1576194 1838893 2364291 3152388 3677786 4728582 5516679 7355572 9457164 11033358 16550037 22066716 33100074 66200148