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2122009974 = 2347338189
BaseRepresentation
bin111111001111011…
…0100110101110110
312110212221021110000
41332132310311312
513321213304344
6550322012130
7103404534000
oct17636646566
95425837400
102122009974
11999901557
124b27a7046
1327a826106
14161b79370
15c6463a69
hex7e7b4d76

2122009974 has 80 divisors (see below), whose sum is σ = 5545188000. Its totient is φ = 606272688.

The previous prime is 2122009963. The next prime is 2122009979. The reversal of 2122009974 is 4799002212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122009979) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36472 + ... + 74660.

It is an arithmetic number, because the mean of its divisors is an integer number (69314850).

Almost surely, 22122009974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122009974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772594000).

2122009974 is an abundant number, since it is smaller than the sum of its proper divisors (3423178026).

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

2122009974 is an equidigital number, since it uses as much as digits as its factorization.

2122009974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38224 (or 38201 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2122009974 is about 46065.2794846618. The cubic root of 2122009974 is about 1285.0375163034.

The spelling of 2122009974 in words is "two billion, one hundred twenty-two million, nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 686 882 1029 1134 1323 2058 2646 3087 3969 6174 7938 9261 18522 27783 38189 55566 76378 114567 229134 267323 343701 534646 687402 801969 1031103 1603938 1871261 2062206 2405907 3093309 3742522 4811814 5613783 6186618 7217721 11227566 13098827 14435442 16841349 21653163 26197654 33682698 39296481 43306326 50524047 78592962 101048094 117889443 151572141 235778886 303144282 353668329 707336658 1061004987 2122009974