Search a number
-
+
41222700 = 223252163281
BaseRepresentation
bin1001110101000…
…0001000101100
32212120022220200
42131100020230
541023111300
64031313500
71010246541
oct235201054
985508820
1041222700
11212a6252
121197b890
13870423c
145690bc8
153944200
hex275022c

41222700 has 108 divisors (see below), whose sum is σ = 130465608. Its totient is φ = 10886400.

The previous prime is 41222689. The next prime is 41222729. The reversal of 41222700 is 722214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146560 + ... + 146840.

Almost surely, 241222700 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 41222700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65232804).

41222700 is an abundant number, since it is smaller than the sum of its proper divisors (89242908).

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

41222700 is a wasteful number, since it uses less digits than its factorization.

41222700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 41222700 is about 6420.4906354577. The cubic root of 41222700 is about 345.4449206166. Note that the first 3 decimals are identical.

Adding to 41222700 its reverse (722214), we get a palindrome (41944914).

The spelling of 41222700 in words is "forty-one million, two hundred twenty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 163 180 225 281 300 326 450 489 562 652 815 843 900 978 1124 1405 1467 1630 1686 1956 2445 2529 2810 2934 3260 3372 4075 4215 4890 5058 5620 5868 7025 7335 8150 8430 9780 10116 12225 12645 14050 14670 16300 16860 21075 24450 25290 28100 29340 36675 42150 45803 48900 50580 63225 73350 84300 91606 126450 137409 146700 183212 229015 252900 274818 412227 458030 549636 687045 824454 916060 1145075 1374090 1648908 2061135 2290150 2748180 3435225 4122270 4580300 6870450 8244540 10305675 13740900 20611350 41222700