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2022104133 = 3272341101337
BaseRepresentation
bin111100010000110…
…1101110001000101
312012220221112101200
41320201231301011
513120124313013
6532352413113
7101052413220
oct17041556105
95186845350
102022104133
11948474845
12485247199
13262c1642a
141527b05b7
15bc7cbe73
hex7886dc45

2022104133 has 96 divisors (see below), whose sum is σ = 3614188032. Its totient is φ = 1064448000.

The previous prime is 2022104113. The next prime is 2022104173. The reversal of 2022104133 is 3314012202.

It is not a de Polignac number, because 2022104133 - 25 = 2022104101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022104113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6000141 + ... + 6000477.

It is an arithmetic number, because the mean of its divisors is an integer number (37647792).

Almost surely, 22022104133 is an apocalyptic number.

2022104133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2022104133 is a deficient number, since it is larger than the sum of its proper divisors (1592083899).

2022104133 is a wasteful number, since it uses less digits than its factorization.

2022104133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2022104133 is about 44967.8121882753. The cubic root of 2022104133 is about 1264.5456315233.

Adding to 2022104133 its reverse (3314012202), we get a palindrome (5336116335).

The spelling of 2022104133 in words is "two billion, twenty-two million, one hundred four thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 23 41 63 69 101 123 161 207 287 303 337 369 483 707 861 909 943 1011 1449 2121 2323 2359 2583 2829 3033 4141 6363 6601 6969 7077 7751 8487 12423 13817 16261 19803 20907 21231 23253 28987 34037 37269 41451 48783 54257 59409 69759 86961 95243 96719 102111 124353 146349 162771 238259 260883 285729 290157 306333 317791 488313 666701 714777 782851 857187 870471 953373 1395517 2000103 2144331 2224537 2348553 2860119 4186551 5479957 6000309 6673611 7045659 9768619 12559653 16439871 20020833 29305857 32096891 49319613 87917571 96290673 224678237 288872019 674034711 2022104133