Search a number
-
+
92112228 = 223413191151
BaseRepresentation
bin1010111110110…
…00010101100100
320102022210020000
411133120111210
5142040042403
613050141300
72165640525
oct537302544
9212283200
1092112228
1147aa430a
1226a21830
13161114a0
14c33a84c
1581477a3
hex57d8564

92112228 has 120 divisors (see below), whose sum is σ = 273208320. Its totient is φ = 26827200.

The previous prime is 92112227. The next prime is 92112259. The reversal of 92112228 is 82221129.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (92112227) 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, 79453 + ... + 80603.

It is an arithmetic number, because the mean of its divisors is an integer number (2276736).

Almost surely, 292112228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92112228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136604160).

92112228 is an abundant number, since it is smaller than the sum of its proper divisors (181096092).

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

92112228 is a wasteful number, since it uses less digits than its factorization.

92112228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1188 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 92112228 is about 9597.5115524807. The cubic root of 92112228 is about 451.6192331979.

The spelling of 92112228 in words is "ninety-two million, one hundred twelve thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 247 324 342 351 468 494 513 684 702 741 988 1026 1053 1151 1404 1482 1539 2052 2106 2223 2302 2964 3078 3453 4212 4446 4604 6156 6669 6906 8892 10359 13338 13812 14963 20007 20718 21869 26676 29926 31077 40014 41436 43738 44889 59852 62154 65607 80028 87476 89778 93231 124308 131214 134667 179556 186462 196821 262428 269334 284297 372924 393642 404001 538668 568594 590463 787284 808002 852891 1137188 1180926 1212003 1616004 1705782 1771389 2361852 2424006 2558673 3411564 3542778 4848012 5117346 7085556 7676019 10234692 15352038 23028057 30704076 46056114 92112228