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142212210 = 23572891087
BaseRepresentation
bin10000111100111…
…11110001110010
3100220121010110220
420132133301302
5242401242320
622040033510
73344532600
oct1036376162
9326533426
10142212210
1173303158
123b762896
132360324a
1414c5c870
15c741e40
hex879fc72

142212210 has 96 divisors (see below), whose sum is σ = 401863680. Its totient is φ = 32110848.

The previous prime is 142212199. The next prime is 142212233. The reversal of 142212210 is 12212241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142212210.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130287 + ... + 131373.

It is an arithmetic number, because the mean of its divisors is an integer number (4186080).

Almost surely, 2142212210 is an apocalyptic number.

142212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200931840).

142212210 is an abundant number, since it is smaller than the sum of its proper divisors (259651470).

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

142212210 is a wasteful number, since it uses less digits than its factorization.

142212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 142212210 is about 11925.2760974327. The cubic root of 142212210 is about 521.9701029544.

Adding to 142212210 its reverse (12212241), we get a palindrome (154424451).

The spelling of 142212210 in words is "one hundred forty-two million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 89 98 105 147 178 210 245 267 294 445 490 534 623 735 890 1087 1246 1335 1470 1869 2174 2670 3115 3261 3738 4361 5435 6230 6522 7609 8722 9345 10870 13083 15218 16305 18690 21805 22827 26166 32610 38045 43610 45654 53263 65415 76090 96743 106526 114135 130830 159789 193486 228270 266315 290229 319578 483715 532630 580458 677201 798945 967430 1354402 1451145 1597890 2031603 2902290 3386005 4063206 4740407 6772010 9480814 10158015 14221221 20316030 23702035 28442442 47404070 71106105 142212210