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141222400 = 2952111759
BaseRepresentation
bin10000110101011…
…10001000000000
3100211201211201021
420122232020000
5242123104100
622002515224
73333241054
oct1032561000
9324654637
10141222400
1172797530
123b365b14
1323347867
1414a81c64
15c5e8a1a
hex86ae200

141222400 has 240 divisors, whose sum is σ = 411000480. Its totient is φ = 47513600.

The previous prime is 141222371. The next prime is 141222401. The reversal of 141222400 is 4222141.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (141222401) 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, 2393571 + ... + 2393629.

It is an arithmetic number, because the mean of its divisors is an integer number (1712502).

Almost surely, 2141222400 is an apocalyptic number.

141222400 is a gapful number since it is divisible by the number (10) 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 141222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205500240).

141222400 is an abundant number, since it is smaller than the sum of its proper divisors (269778080).

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

141222400 is a wasteful number, since it uses less digits than its factorization.

141222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 141222400 is about 11883.7031265511. The cubic root of 141222400 is about 520.7562959480.

Adding to 141222400 its reverse (4222141), we get a palindrome (145444541).

The spelling of 141222400 in words is "one hundred forty-one million, two hundred twenty-two thousand, four hundred".