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141221772 = 22332694861
BaseRepresentation
bin10000110101011…
…01111110001100
3100211201210212000
420122231332030
5242123044042
622002512300
73333236166
oct1032557614
9324653760
10141221772
117279700a
123b365690
13233474a3
1414a81936
15c5e874c
hex86adf8c

141221772 has 48 divisors (see below), whose sum is σ = 367567200. Its totient is φ = 46889280.

The previous prime is 141221749. The next prime is 141221779. The reversal of 141221772 is 277122141.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (141221779) 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, 26622 + ... + 31482.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

Almost surely, 2141221772 is an apocalyptic number.

141221772 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 141221772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183783600).

141221772 is an abundant number, since it is smaller than the sum of its proper divisors (226345428).

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

141221772 is a wasteful number, since it uses less digits than its factorization.

141221772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5135 counting only the distinct ones).

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

The square root of 141221772 is about 11883.6767037815. The cubic root of 141221772 is about 520.7555240322.

The spelling of 141221772 in words is "one hundred forty-one million, two hundred twenty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 269 538 807 1076 1614 2421 3228 4842 4861 7263 9684 9722 14526 14583 19444 29052 29166 43749 58332 87498 131247 174996 262494 524988 1307609 2615218 3922827 5230436 7845654 11768481 15691308 23536962 35305443 47073924 70610886 141221772