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1022220444 = 2237192692381
BaseRepresentation
bin111100111011011…
…101100010011100
32122020111011211110
4330323131202130
54043142023234
6245233422020
734221505350
oct7473354234
92566434743
101022220444
11485020393
1224640a910
13133a1a18b
1499a93460
155eb201e9
hex3cedd89c

1022220444 has 96 divisors (see below), whose sum is σ = 2881267200. Its totient is φ = 275546880.

The previous prime is 1022220427. The next prime is 1022220457. The reversal of 1022220444 is 4440222201.

It is a super-3 number, since 3×10222204443 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1022220444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428134 + ... + 430514.

It is an arithmetic number, because the mean of its divisors is an integer number (30013200).

Almost surely, 21022220444 is an apocalyptic number.

1022220444 is a gapful number since it is divisible by the number (14) 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 1022220444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440633600).

1022220444 is an abundant number, since it is smaller than the sum of its proper divisors (1859046756).

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

1022220444 is a wasteful number, since it uses less digits than its factorization.

1022220444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1022220444 is about 31972.1823465337. The cubic root of 1022220444 is about 1007.3526211324.

Adding to 1022220444 its reverse (4440222201), we get a palindrome (5462442645).

The spelling of 1022220444 in words is "one billion, twenty-two million, two hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 269 399 532 538 798 807 1076 1596 1614 1883 2381 3228 3766 4762 5111 5649 7143 7532 9524 10222 11298 14286 15333 16667 20444 22596 28572 30666 33334 35777 45239 50001 61332 66668 71554 90478 100002 107331 135717 143108 180956 200004 214662 271434 316673 429324 542868 633346 640489 950019 1266692 1280978 1900038 1921467 2561956 3800076 3842934 4483423 7685868 8966846 12169291 13450269 17933692 24338582 26900538 36507873 48677164 53801076 73015746 85185037 146031492 170370074 255555111 340740148 511110222 1022220444