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141222200 = 23527149677
BaseRepresentation
bin10000110101011…
…10000100111000
3100211201211102212
420122232010320
5242123102300
622002514252
73333240350
oct1032560470
9324654385
10141222200
1172797369
123b365988
1323347742
1414a81b60
15c5e8935
hex86ae138

141222200 has 96 divisors (see below), whose sum is σ = 378324000. Its totient is φ = 48023040.

The previous prime is 141222197. The next prime is 141222227. The reversal of 141222200 is 2222141.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208262 + ... + 208938.

It is an arithmetic number, because the mean of its divisors is an integer number (3940875).

Almost surely, 2141222200 is an apocalyptic number.

141222200 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 141222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189162000).

141222200 is an abundant number, since it is smaller than the sum of its proper divisors (237101800).

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

141222200 is a wasteful number, since it uses less digits than its factorization.

141222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 141222200 is about 11883.6947116627. The cubic root of 141222200 is about 520.7560501152.

Adding to 141222200 its reverse (2222141), we get a palindrome (143444341).

The spelling of 141222200 in words is "one hundred forty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 149 175 200 280 298 350 596 677 700 745 1043 1192 1354 1400 1490 2086 2708 2980 3385 3725 4172 4739 5215 5416 5960 6770 7450 8344 9478 10430 13540 14900 16925 18956 20860 23695 26075 27080 29800 33850 37912 41720 47390 52150 67700 94780 100873 104300 118475 135400 189560 201746 208600 236950 403492 473900 504365 706111 806984 947800 1008730 1412222 2017460 2521825 2824444 3530555 4034920 5043650 5648888 7061110 10087300 14122220 17652775 20174600 28244440 35305550 70611100 141222200