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145742224 = 24173831399
BaseRepresentation
bin10001010111111…
…01100110010000
3101011020110202011
420223331212100
5244302222344
622243432304
73416534305
oct1053754620
9334213664
10145742224
11752a4321
1240985694
132426ac04
14154db0ac
15cbdcd34
hex8afd990

145742224 has 40 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 68356608.

The previous prime is 145742221. The next prime is 145742231. The reversal of 145742224 is 422247541.

145742224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145742221) 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, 103477 + ... + 104875.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2145742224 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 145742224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

145742224 is an abundant number, since it is smaller than the sum of its proper divisors (154238576).

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

145742224 is a wasteful number, since it uses less digits than its factorization.

145742224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1801 counting only the distinct ones).

The product of its digits is 17920, while the sum is 31.

The square root of 145742224 is about 12072.3744143395. The cubic root of 145742224 is about 526.2536618624.

Adding to 145742224 its reverse (422247541), we get a palindrome (567989765).

It can be divided in two parts, 1457 and 42224, that added together give a square (43681 = 2092).

The spelling of 145742224 in words is "one hundred forty-five million, seven hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 383 766 1399 1532 2798 3064 5596 6128 6511 11192 13022 22384 23783 26044 47566 52088 95132 104176 190264 380528 535817 1071634 2143268 4286536 8573072 9108889 18217778 36435556 72871112 145742224