Search a number
-
+
1022070144 = 2732661641
BaseRepresentation
bin111100111010111…
…000110110000000
32122020012112122210
4330322320312000
54043122221034
6245230302120
734220311224
oct7472706600
92566175583
101022070144
11484a28477
12246357940
13133996944
1499a54784
155eae08e9
hex3ceb8d80

1022070144 has 32 divisors (see below), whose sum is σ = 2714874840. Its totient is φ = 340689920.

The previous prime is 1022070143. The next prime is 1022070151. The reversal of 1022070144 is 4410702201.

It is a happy number.

1022070144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1022070144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022070143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1330437 + ... + 1331204.

Almost surely, 21022070144 is an apocalyptic number.

It is an amenable number.

1022070144 is an abundant number, since it is smaller than the sum of its proper divisors (1692804696).

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

1022070144 is an equidigital number, since it uses as much as digits as its factorization.

1022070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661658 (or 2661646 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1022070144 is about 31969.8317793510. The cubic root of 1022070144 is about 1007.3032473986.

Adding to 1022070144 its reverse (4410702201), we get a palindrome (5432772345).

The spelling of 1022070144 in words is "one billion, twenty-two million, seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2661641 5323282 7984923 10646564 15969846 21293128 31939692 42586256 63879384 85172512 127758768 170345024 255517536 340690048 511035072 1022070144