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1032230144 = 2811379907
BaseRepresentation
bin111101100001101…
…001010100000000
32122221022201120002
4331201221110000
54103222331034
6250232135132
734402545221
oct7541512400
92587281502
101032230144
1148a737870
122498374a8
13135b1328a
149b13b248
156094ae7e
hex3d869500

1032230144 has 72 divisors (see below), whose sum is σ = 2308722528. Its totient is φ = 456468480.

The previous prime is 1032230141. The next prime is 1032230153. The reversal of 1032230144 is 4410322301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032230141) 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, 99239 + ... + 109145.

Almost surely, 21032230144 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 1032230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154361264).

1032230144 is an abundant number, since it is smaller than the sum of its proper divisors (1276492384).

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

1032230144 is an equidigital number, since it uses as much as digits as its factorization.

1032230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1032230144 is about 32128.3386436336. The cubic root of 1032230144 is about 1010.6299843815.

Adding to 1032230144 its reverse (4410322301), we get a palindrome (5442552445).

The spelling of 1032230144 in words is "one billion, thirty-two million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 592 704 814 1184 1408 1628 2368 2816 3256 4736 6512 9472 9907 13024 19814 26048 39628 52096 79256 104192 108977 158512 217954 317024 366559 435908 634048 733118 871816 1268096 1466236 1743632 2536192 2932472 3487264 4032149 5864944 6974528 8064298 11729888 13949056 16128596 23459776 27898112 32257192 46919552 64514384 93839104 129028768 258057536 516115072 1032230144