Search a number
-
+
142222064 = 24231632371
BaseRepresentation
bin10000111101000…
…10001011110000
3100220121121222212
420132202023300
5242402101224
622040151252
73344603405
oct1036421360
9326547885
10142222064
117330a5a6
123b768528
132360788a
1414c622ac
15c744d0e
hex87a22f0

142222064 has 40 divisors (see below), whose sum is σ = 289421952. Its totient is φ = 67573440.

The previous prime is 142222063. The next prime is 142222081. The reversal of 142222064 is 460222241.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142222063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58799 + ... + 61169.

Almost surely, 2142222064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142222064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144710976).

142222064 is an abundant number, since it is smaller than the sum of its proper divisors (147199888).

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

142222064 is a wasteful number, since it uses less digits than its factorization.

142222064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 142222064 is about 11925.6892463287. The cubic root of 142222064 is about 521.9821585873.

The spelling of 142222064 in words is "one hundred forty-two million, two hundred twenty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 92 163 184 326 368 652 1304 2371 2608 3749 4742 7498 9484 14996 18968 29992 37936 54533 59984 109066 218132 386473 436264 772946 872528 1545892 3091784 6183568 8888879 17777758 35555516 71111032 142222064