Search a number
-
+
141222024 = 233223107797
BaseRepresentation
bin10000110101011…
…10000010001000
3100211201211012100
420122232002020
5242123101044
622002513400
73333240006
oct1032560210
9324654170
10141222024
1172797219
123b365860
1323347638
1414a81a76
15c5e8869
hex86ae088

141222024 has 96 divisors (see below), whose sum is σ = 403341120. Its totient is φ = 44550528.

The previous prime is 141222023. The next prime is 141222073. The reversal of 141222024 is 420222141.

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

It is a junction number, because it is equal to n+sod(n) for n = 141221988 and 141222006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141222023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176794 + ... + 177590.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2141222024 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 141222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

141222024 is an abundant number, since it is smaller than the sum of its proper divisors (262119096).

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

141222024 is a wasteful number, since it uses less digits than its factorization.

141222024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 141222024 is about 11883.6873065560. The cubic root of 141222024 is about 520.7558337821.

Adding to 141222024 its reverse (420222141), we get a palindrome (561444165).

It can be divided in two parts, 1412 and 22024, that added together give a triangular number (23436 = T216).

The spelling of 141222024 in words is "one hundred forty-one million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 107 138 184 207 214 276 321 414 428 552 642 797 828 856 963 1284 1594 1656 1926 2391 2461 2568 3188 3852 4782 4922 6376 7173 7383 7704 9564 9844 14346 14766 18331 19128 19688 22149 28692 29532 36662 44298 54993 57384 59064 73324 85279 88596 109986 146648 164979 170558 177192 219972 255837 329958 341116 439944 511674 659916 682232 767511 1023348 1319832 1535022 1961417 2046696 3070044 3922834 5884251 6140088 7845668 11768502 15691336 17652753 23537004 35305506 47074008 70611012 141222024