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147221172 = 223371931009
BaseRepresentation
bin10001100011001…
…10101010110100
3101021000121111000
420301212222310
5300142034142
622335243300
73435234150
oct1061465264
9337017430
10147221172
117611449a
1241379530
1324668127
14157a4060
15cdd114c
hex8c66ab4

147221172 has 96 divisors (see below), whose sum is σ = 438905600. Its totient is φ = 41803776.

The previous prime is 147221171. The next prime is 147221189. The reversal of 147221172 is 271122741.

It is a happy number.

147221172 is a `hidden beast` number, since 1 + 472 + 21 + 172 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147221171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145404 + ... + 146412.

Almost surely, 2147221172 is an apocalyptic number.

147221172 is a gapful number since it is divisible by the number (12) 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 147221172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219452800).

147221172 is an abundant number, since it is smaller than the sum of its proper divisors (291684428).

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

147221172 is a wasteful number, since it uses less digits than its factorization.

147221172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1214 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 147221172 is about 12133.4732043220. The cubic root of 147221172 is about 528.0277619700.

The spelling of 147221172 in words is "one hundred forty-seven million, two hundred twenty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 193 252 378 386 579 756 772 1009 1158 1351 1737 2018 2316 2702 3027 3474 4036 4053 5211 5404 6054 6948 7063 8106 9081 10422 12108 12159 14126 16212 18162 20844 21189 24318 27243 28252 36324 36477 42378 48636 54486 63567 72954 84756 108972 127134 145908 190701 194737 254268 381402 389474 584211 762804 778948 1168422 1363159 1752633 2336844 2726318 3505266 4089477 5257899 5452636 7010532 8178954 10515798 12268431 16357908 21031596 24536862 36805293 49073724 73610586 147221172