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1023232144 = 241127272
BaseRepresentation
bin111100111111010…
…100100010010000
32122022101120121211
4330333110202100
54043421412034
6245311225504
734233221044
oct7477244220
92568346554
101023232144
11485651500
12246818294
13133cb280c
1499c78024
155ec6ed64
hex3cfd4890

1023232144 has 45 divisors (see below), whose sum is σ = 2182126611. Its totient is φ = 464465760.

The previous prime is 1023232129. The next prime is 1023232157. The reversal of 1023232144 is 4412323201.

The square root of 1023232144 is 31988.

It is a perfect power (a square), and thus also a powerful number.

1023232144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1407109 + ... + 1407835.

Almost surely, 21023232144 is an apocalyptic number.

1023232144 is the 31988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023232144

1023232144 is an abundant number, since it is smaller than the sum of its proper divisors (1158894467).

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

1023232144 is an frugal number, since it uses more digits than its factorization.

1023232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The cubic root of 1023232144 is about 1007.6848399543.

Adding to 1023232144 its reverse (4412323201), we get a palindrome (5435555345).

The spelling of 1023232144 in words is "one billion, twenty-three million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 727 968 1454 1936 2908 5816 7997 11632 15994 31988 63976 87967 127952 175934 351868 528529 703736 1057058 1407472 2114116 4228232 5813819 8456464 11627638 23255276 46510552 63952009 93021104 127904018 255808036 511616072 1023232144