Search a number
-
+
142202240 = 275832677
BaseRepresentation
bin10000111100111…
…01010110000000
3100220120121210122
420132131112000
5242400432430
622035515412
73344461535
oct1036352600
9326517718
10142202240
11732a6714
123b758b68
13235cb84b
1414c58d8c
15c73dee5
hex879d580

142202240 has 64 divisors (see below), whose sum is σ = 344176560. Its totient is φ = 56174592.

The previous prime is 142202237. The next prime is 142202257. The reversal of 142202240 is 42202241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1422022402 = 40442954122035200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51782 + ... + 54458.

Almost surely, 2142202240 is an apocalyptic number.

142202240 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 142202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172088280).

142202240 is an abundant number, since it is smaller than the sum of its proper divisors (201974320).

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

142202240 is an equidigital number, since it uses as much as digits as its factorization.

142202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 142202240 is about 11924.8580704342. The cubic root of 142202240 is about 521.9579048374.

Adding to 142202240 its reverse (42202241), we get a palindrome (184404481).

Subtracting from 142202240 its reverse (42202241), we obtain a palindrome (99999999).

The spelling of 142202240 in words is "one hundred forty-two million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 415 640 664 830 1328 1660 2656 2677 3320 5312 5354 6640 10624 10708 13280 13385 21416 26560 26770 42832 53120 53540 85664 107080 171328 214160 222191 342656 428320 444382 856640 888764 1110955 1713280 1777528 2221910 3555056 4443820 7110112 8887640 14220224 17775280 28440448 35550560 71101120 142202240