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201461172 = 223116412381
BaseRepresentation
bin11000000001000…
…00110110110100
3112001002021202220
430000200312310
5403033224142
631554002340
74664251233
oct1400406664
9461067686
10201461172
11a37a0840
12575763b0
13329793c3
141ca82b1a
1512a472ec
hexc020db4

201461172 has 48 divisors (see below), whose sum is σ = 513825984. Its totient is φ = 60928000.

The previous prime is 201461153. The next prime is 201461177. The reversal of 201461172 is 271164102.

It is a super-2 number, since 2×2014611722 = 81173207647227168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201461177) 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, 83422 + ... + 85802.

It is an arithmetic number, because the mean of its divisors is an integer number (10704708).

Almost surely, 2201461172 is an apocalyptic number.

201461172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201461172 is an abundant number, since it is smaller than the sum of its proper divisors (312364812).

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

201461172 is a wasteful number, since it uses less digits than its factorization.

201461172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 201461172 is about 14193.7018427188. The cubic root of 201461172 is about 586.2242576852.

The spelling of 201461172 in words is "two hundred one million, four hundred sixty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 641 1282 1923 2381 2564 3846 4762 7051 7143 7692 9524 14102 14286 21153 26191 28204 28572 42306 52382 78573 84612 104764 157146 314292 1526221 3052442 4578663 6104884 9157326 16788431 18314652 33576862 50365293 67153724 100730586 201461172