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142223200 = 25527109233
BaseRepresentation
bin10000111101000…
…10011101100000
3100220121200112221
420132202131200
5242402120300
622040200424
73344606620
oct1036423540
9326550487
10142223200
1173310439
123b769114
1323608252
1414c62880
15c74531a
hex87a2760

142223200 has 144 divisors (see below), whose sum is σ = 402161760. Its totient is φ = 48107520.

The previous prime is 142223183. The next prime is 142223201. The reversal of 142223200 is 2322241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142223201) 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, 610284 + ... + 610516.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2142223200 is an apocalyptic number.

142223200 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 142223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080880).

142223200 is an abundant number, since it is smaller than the sum of its proper divisors (259938560).

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

142223200 is a wasteful number, since it uses less digits than its factorization.

142223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 142223200 is about 11925.7368745080. The cubic root of 142223200 is about 521.9835483627.

Adding to 142223200 its reverse (2322241), we get a palindrome (144545441).

The spelling of 142223200 in words is "one hundred forty-two million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 109 112 140 160 175 200 218 224 233 280 350 400 436 466 545 560 700 763 800 872 932 1090 1120 1165 1400 1526 1631 1744 1864 2180 2330 2725 2800 3052 3262 3488 3728 3815 4360 4660 5450 5600 5825 6104 6524 7456 7630 8155 8720 9320 10900 11650 12208 13048 15260 16310 17440 18640 19075 21800 23300 24416 25397 26096 30520 32620 37280 38150 40775 43600 46600 50794 52192 61040 65240 76300 81550 87200 93200 101588 122080 126985 130480 152600 163100 177779 186400 203176 253970 260960 305200 326200 355558 406352 507940 610400 634925 652400 711116 812704 888895 1015880 1269850 1304800 1422232 1777790 2031760 2539700 2844464 3555580 4063520 4444475 5079400 5688928 7111160 8888950 10158800 14222320 17777900 20317600 28444640 35555800 71111600 142223200