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1022003220 = 223572433341
BaseRepresentation
bin111100111010101…
…000100000010100
32122020002010212010
4330322220200110
54043113100340
6245225024220
734216612140
oct7472504024
92566063763
101022003220
11484992167
12246325070
13133972344
1499a38220
155eacab80
hex3cea8814

1022003220 has 48 divisors (see below), whose sum is σ = 3270411648. Its totient is φ = 233600640.

The previous prime is 1022003207. The next prime is 1022003221. The reversal of 1022003220 is 223002201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1022003196 and 1022003205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022003221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216251 + ... + 1217090.

It is an arithmetic number, because the mean of its divisors is an integer number (68133576).

Almost surely, 21022003220 is an apocalyptic number.

1022003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022003220 is an abundant number, since it is smaller than the sum of its proper divisors (2248408428).

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

1022003220 is a wasteful number, since it uses less digits than its factorization.

1022003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433360 (or 2433358 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1022003220 is about 31968.7850879573. The cubic root of 1022003220 is about 1007.2812612253.

Adding to 1022003220 its reverse (223002201), we get a palindrome (1245005421).

The spelling of 1022003220 in words is "one billion, twenty-two million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2433341 4866682 7300023 9733364 12166705 14600046 17033387 24333410 29200092 34066774 36500115 48666820 51100161 68133548 73000230 85166935 102200322 146000460 170333870 204400644 255500805 340667740 511001610 1022003220