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1022132132 = 227194146861
BaseRepresentation
bin111100111011000…
…111111110100100
32122020022200200122
4330323013332210
54043131212012
6245231501112
734220660030
oct7473077644
92566280618
101022132132
11484a6aaaa
12246387798
131339b8c18
1499a6d1c0
155eb03e72
hex3cec7fa4

1022132132 has 48 divisors (see below), whose sum is σ = 2204388480. Its totient is φ = 404870400.

The previous prime is 1022132081. The next prime is 1022132143. The reversal of 1022132132 is 2312312201.

It is a self number, because there is not a number n which added to its sum of digits gives 1022132132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1619 + ... + 45242.

It is an arithmetic number, because the mean of its divisors is an integer number (45924760).

Almost surely, 21022132132 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 1022132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102194240).

1022132132 is an abundant number, since it is smaller than the sum of its proper divisors (1182256348).

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

1022132132 is a wasteful number, since it uses less digits than its factorization.

1022132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46932 (or 46930 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1022132132 is about 31970.8012411325. The cubic root of 1022132132 is about 1007.3236111189.

Adding to 1022132132 its reverse (2312312201), we get a palindrome (3334444333).

The spelling of 1022132132 in words is "one billion, twenty-two million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 532 574 779 1148 1558 3116 5453 10906 21812 46861 93722 187444 328027 656054 890359 1312108 1780718 1921301 3561436 3842602 6232513 7685204 12465026 13449107 24930052 26898214 36504719 53796428 73009438 146018876 255533033 511066066 1022132132