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83492222112 = 25321343518611
BaseRepresentation
bin100110111000010000…
…1100011010010100000
321222111201100100010200
41031300201203102200
52331443002101422
6102204504025200
76014005115115
oct1156041432240
9258451310120
1083492222112
1132455201262
1214221462200
137b477aa130
1440808b090c
152289d912ac
hex13708634a0

83492222112 has 144 divisors (see below), whose sum is σ = 261641828448. Its totient is φ = 25092426240.

The previous prime is 83492222083. The next prime is 83492222113. The reversal of 83492222112 is 21122229438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83492222113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98314 + ... + 420297.

It is an arithmetic number, because the mean of its divisors is an integer number (1816957142).

Almost surely, 283492222112 is an apocalyptic number.

It is an amenable number.

83492222112 is an abundant number, since it is smaller than the sum of its proper divisors (178149606336).

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

83492222112 is a wasteful number, since it uses less digits than its factorization.

83492222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518683 (or 518672 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 83492222112 in words is "eighty-three billion, four hundred ninety-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3096 3354 3744 4128 4472 5031 6192 6708 8944 10062 12384 13416 17888 20124 26832 40248 53664 80496 160992 518611 1037222 1555833 2074444 3111666 4148888 4667499 6223332 6741943 8297776 9334998 12446664 13483886 16595552 18669996 20225829 22300273 24893328 26967772 37339992 40451658 44600546 49786656 53935544 60677487 66900819 74679984 80903316 89201092 107871088 121354974 133801638 149359968 161806632 178402184 200702457 215742176 242709948 267603276 289903549 323613264 356804368 401404914 485419896 535206552 579807098 647226528 713608736 802809828 869710647 970839792 1070413104 1159614196 1605619656 1739421294 1941679584 2140826208 2319228392 2609131941 3211239312 3478842588 4638456784 5218263882 6422478624 6957685176 9276913568 10436527764 13915370352 20873055528 27830740704 41746111056 83492222112