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1022230000 = 2454119293
BaseRepresentation
bin111100111011011…
…111110111110000
32122020111122221101
4330323133313300
54043142330000
6245233534144
734221545251
oct7473376760
92566448841
101022230000
11485027590
12246414354
13133a2162c
1499a96b28
155eb22e6a
hex3cedfdf0

1022230000 has 100 divisors (see below), whose sum is σ = 2700204408. Its totient is φ = 371680000.

The previous prime is 1022229977. The next prime is 1022230003. The reversal of 1022230000 is 322201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022230003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105354 + ... + 114646.

Almost surely, 21022230000 is an apocalyptic number.

1022230000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350102204).

1022230000 is an abundant number, since it is smaller than the sum of its proper divisors (1677974408).

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

1022230000 is an equidigital number, since it uses as much as digits as its factorization.

1022230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1022230000 is about 31972.3317885950. The cubic root of 1022230000 is about 1007.3557601264.

Adding to 1022230000 its reverse (322201), we get a palindrome (1022552201).

The spelling of 1022230000 in words is "one billion, twenty-two million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 9293 10000 11000 13750 18586 22000 27500 37172 46465 55000 74344 92930 102223 110000 148688 185860 204446 232325 371720 408892 464650 511115 743440 817784 929300 1022230 1161625 1635568 1858600 2044460 2323250 2555575 3717200 4088920 4646500 5111150 5808125 8177840 9293000 10222300 11616250 12777875 18586000 20444600 23232500 25555750 40889200 46465000 51111500 63889375 92930000 102223000 127778750 204446000 255557500 511115000 1022230000