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92200893316 = 2272234412
BaseRepresentation
bin101010111011110011…
…0011111101110000100
322210222122020200011121
41111313212133232010
53002311412041231
6110205001043324
76442552443100
oct1256746375604
9283878220147
1092200893316
1136114000894
1215a51a86544
138904aa740c
14466932c900
1525e96c3311
hex157799fb84

92200893316 has 135 divisors (see below), whose sum is σ = 201128958597. Its totient is φ = 36874770240.

The previous prime is 92200893311. The next prime is 92200893329. The reversal of 92200893316 is 61339800229.

The square root of 92200893316 is 303646.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4442755716 + 87758137600 = 66654^2 + 296240^2 .

It is a super-3 number, since 3×922008933163 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (92200893311) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2248802256 + ... + 2248802296.

Almost surely, 292200893316 is an apocalyptic number.

92200893316 is the 303646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92200893316

92200893316 is an abundant number, since it is smaller than the sum of its proper divisors (108928065281).

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

92200893316 is an frugal number, since it uses more digits than its factorization.

92200893316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 92200893316 in words is "ninety-two billion, two hundred million, eight hundred ninety-three thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 23 28 41 46 49 82 92 98 161 164 196 287 322 529 574 644 943 1058 1127 1148 1681 1886 2009 2116 2254 3362 3703 3772 4018 4508 6601 6724 7406 8036 11767 12167 13202 14812 21689 23534 24334 25921 26404 38663 43378 46207 47068 48668 51842 77326 82369 85169 86756 92414 103684 151823 154652 164738 170338 184828 270641 279841 303646 329476 340676 498847 541282 559682 596183 607292 889249 997694 1062761 1082564 1119364 1192366 1778498 1894487 1958887 1995388 2125522 2384732 3491929 3556996 3788974 3917774 4251044 6224743 6983858 7577948 7835548 11473481 12449486 13712209 13967716 20452727 22946962 24443503 24898972 27424418 40905454 43573201 45893924 48887006 54848836 80314367 81810908 87146402 97774012 143169089 160628734 174292804 286338178 321257468 470412721 562200569 572676356 940825442 1002183623 1124401138 1881650884 2004367246 2248802276 3292889047 4008734492 6585778094 13171556188 23050223329 46100446658 92200893316