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1022213104 = 241123673769
BaseRepresentation
bin111100111011011…
…011101111110000
32122020110210202121
4330323123233300
54043141304404
6245233324024
734221445063
oct7473335760
92566423677
101022213104
11485015920
12246406614
13133a16a33
1499a908da
155eb1ce54
hex3cedbbf0

1022213104 has 80 divisors (see below), whose sum is σ = 2288782080. Its totient is φ = 437690880.

The previous prime is 1022213047. The next prime is 1022213117. The reversal of 1022213104 is 4013122201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269332 + ... + 273100.

It is an arithmetic number, because the mean of its divisors is an integer number (28609776).

Almost surely, 21022213104 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 1022213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144391040).

1022213104 is an abundant number, since it is smaller than the sum of its proper divisors (1266568976).

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

1022213104 is a wasteful number, since it uses less digits than its factorization.

1022213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1022213104 is about 31972.0675590428. The cubic root of 1022213104 is about 1007.3502100458.

Adding to 1022213104 its reverse (4013122201), we get a palindrome (5035335305).

The spelling of 1022213104 in words is "one billion, twenty-two million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 67 88 92 134 176 184 253 268 368 506 536 737 1012 1072 1474 1541 2024 2948 3082 3769 4048 5896 6164 7538 11792 12328 15076 16951 24656 30152 33902 41459 60304 67804 82918 86687 135608 165836 173374 252523 271216 331672 346748 505046 663344 693496 953557 1010092 1386992 1907114 2020184 2777753 3814228 4040368 5555506 5808029 7628456 11111012 11616058 15256912 22222024 23232116 44444048 46464232 63888319 92928464 127776638 255553276 511106552 1022213104