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1022020000 = 2554137373
BaseRepresentation
bin111100111010101…
…100100110100000
32122020002222212121
4330322230212200
54043114120000
6245225234024
734220012101
oct7472544640
92566088777
101022020000
114849a3831
12246332914
13133979b81
1499a403a8
155ead0b1a
hex3ceac9a0

1022020000 has 120 divisors (see below), whose sum is σ = 2539465236. Its totient is φ = 404736000.

The previous prime is 1022019989. The next prime is 1022020009. The reversal of 1022020000 is 202201.

It is a happy number.

1022020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 47831056 + 974188944 = 6916^2 + 31212^2 .

It is not an unprimeable number, because it can be changed into a prime (1022020009) 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, 2739814 + ... + 2740186.

Almost surely, 21022020000 is an apocalyptic number.

1022020000 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 1022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269732618).

1022020000 is an abundant number, since it is smaller than the sum of its proper divisors (1517445236).

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

1022020000 is an equidigital number, since it uses as much as digits as its factorization.

1022020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 1022020000 is about 31969.0475303848. The cubic root of 1022020000 is about 1007.2867739565.

Adding to 1022020000 its reverse (202201), we get a palindrome (1022222201).

The spelling of 1022020000 in words is "one billion, twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 137 160 200 250 274 373 400 500 548 625 685 746 800 1000 1096 1250 1370 1492 1865 2000 2192 2500 2740 2984 3425 3730 4000 4384 5000 5480 5968 6850 7460 9325 10000 10960 11936 13700 14920 17125 18650 20000 21920 27400 29840 34250 37300 46625 51101 54800 59680 68500 74600 85625 93250 102202 109600 137000 149200 171250 186500 204404 233125 255505 274000 298400 342500 373000 408808 466250 511010 548000 685000 746000 817616 932500 1022020 1277525 1370000 1492000 1635232 1865000 2044040 2555050 2740000 3730000 4088080 5110100 6387625 7460000 8176160 10220200 12775250 20440400 25550500 31938125 40880800 51101000 63876250 102202000 127752500 204404000 255505000 511010000 1022020000