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66196224 = 283361157
BaseRepresentation
bin1111110010000…
…1001100000000
311121120010011000
43330201030000
5113421234344
610322452000
71432441623
oct374411400
9147503130
1066196224
1134403226
121a204000
1310939383
148b11dba
155c28a69
hex3f21300

66196224 has 144 divisors (see below), whose sum is σ = 200230240. Its totient is φ = 21565440.

The previous prime is 66196223. The next prime is 66196237. The reversal of 66196224 is 42269166.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31104) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (66196223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421554 + ... + 421710.

Almost surely, 266196224 is an apocalyptic number.

66196224 is a gapful number since it is divisible by the number (64) 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 66196224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100115120).

66196224 is an abundant number, since it is smaller than the sum of its proper divisors (134034016).

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

66196224 is a wasteful number, since it uses less digits than its factorization.

66196224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 66196224 is about 8136.1061939972. The cubic root of 66196224 is about 404.5241049419.

The spelling of 66196224 in words is "sixty-six million, one hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 157 183 192 216 244 256 288 314 366 384 432 471 488 549 576 628 732 768 864 942 976 1098 1152 1256 1413 1464 1647 1728 1884 1952 2196 2304 2512 2826 2928 3294 3456 3768 3904 4239 4392 5024 5652 5856 6588 6912 7536 7808 8478 8784 9577 10048 11304 11712 13176 15072 15616 16956 17568 19154 20096 22608 23424 26352 28731 30144 33912 35136 38308 40192 45216 46848 52704 57462 60288 67824 70272 76616 86193 90432 105408 114924 120576 135648 140544 153232 172386 180864 210816 229848 258579 271296 306464 344772 361728 421632 459696 517158 542592 612928 689544 919392 1034316 1085184 1225856 1379088 1838784 2068632 2451712 2758176 3677568 4137264 5516352 7355136 8274528 11032704 16549056 22065408 33098112 66196224