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22992700014 = 23419127131449
BaseRepresentation
bin10101011010011110…
…001100001001101110
32012100101211011220000
4111122132030021232
5334042112400024
614321313205130
71442531503554
oct253236141156
965311734800
1022992700014
119829863919
1245582607a6
13222570454b
14118194bbd4
158e886bcc9
hex55a78c26e

22992700014 has 160 divisors (see below), whose sum is σ = 55199232000. Its totient is φ = 7132769280.

The previous prime is 22992699953. The next prime is 22992700019. The reversal of 22992700014 is 41000729922.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22992700019) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51208462 + ... + 51208910.

It is an arithmetic number, because the mean of its divisors is an integer number (344995200).

Almost surely, 222992700014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22992700014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27599616000).

22992700014 is an abundant number, since it is smaller than the sum of its proper divisors (32206531986).

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

22992700014 is a wasteful number, since it uses less digits than its factorization.

22992700014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 731 counting only the distinct ones).

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

The spelling of 22992700014 in words is "twenty-two billion, nine hundred ninety-two million, seven hundred thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 127 131 162 171 254 262 342 381 393 449 513 762 786 898 1026 1143 1179 1347 1539 2286 2358 2413 2489 2694 3078 3429 3537 4041 4826 4978 6858 7074 7239 7467 8082 8531 10287 10611 12123 14478 14934 16637 17062 20574 21222 21717 22401 24246 25593 33274 36369 43434 44802 49911 51186 57023 58819 65151 67203 72738 76779 99822 114046 117638 130302 134406 149733 153558 171069 176457 195453 201609 230337 299466 316103 342138 352914 390906 403218 449199 460674 513207 529371 632206 691011 898398 948309 1026414 1058742 1083437 1117561 1347597 1382022 1539621 1588113 1896618 2166874 2235122 2695194 2844927 3079242 3176226 3250311 3352683 4618863 4764339 5689854 6500622 6705366 7470013 8534781 9237726 9528678 9750933 10058049 14940026 17069562 19501866 20116098 22410039 25604343 29252799 30174147 44820078 51208686 58505598 60348294 67230117 87758397 90522441 134460234 141930247 175516794 181044882 201690351 283860494 403380702 425790741 605071053 851581482 1210142106 1277372223 2554744446 3832116669 7664233338 11496350007 22992700014