Search a number
-
+
22275190819224 = 2332744998433869
BaseRepresentation
bin1010001000010010110001…
…10101100000100110011000
32220212111011100101102022200
411010021120311200212120
510404424042322203344
6115213025325250200
74456220664630240
oct504113065404630
986774140342280
1022275190819224
117108945560432
1225b90b8403960
13c57706831a85
145701a6d78b20
15289667494069
hex144258d60998

22275190819224 has 96 divisors (see below), whose sum is σ = 69100576740000. Its totient is φ = 6350165692416.

The previous prime is 22275190819213. The next prime is 22275190819237. The reversal of 22275190819224 is 42291809157222.

It is a happy number.

22275190819224 is a `hidden beast` number, since 2 + 2 + 27 + 519 + 0 + 81 + 9 + 2 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48990639 + ... + 49443230.

It is an arithmetic number, because the mean of its divisors is an integer number (719797674375).

Almost surely, 222275190819224 is an apocalyptic number.

22275190819224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22275190819224 is an abundant number, since it is smaller than the sum of its proper divisors (46825385920776).

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

22275190819224 is a wasteful number, since it uses less digits than its factorization.

22275190819224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98434337 (or 98434330 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 22275190819224 in words is "twenty-two trillion, two hundred seventy-five billion, one hundred ninety million, eight hundred nineteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 449 504 898 1347 1796 2694 3143 3592 4041 5388 6286 8082 9429 10776 12572 16164 18858 25144 28287 32328 37716 56574 75432 113148 226296 98433869 196867738 295301607 393735476 590603214 689037083 787470952 885904821 1181206428 1378074166 1771809642 2067111249 2362412856 2756148332 3543619284 4134222498 5512296664 6201333747 7087238568 8268444996 12402667494 16536889992 24805334988 44196807181 49610669976 88393614362 132590421543 176787228724 265180843086 309377650267 353574457448 397771264629 530361686172 618755300534 795542529258 928132950801 1060723372344 1237510601068 1591085058516 1856265901602 2475021202136 2784398852403 3182170117032 3712531803204 5568797704806 7425063606408 11137595409612 22275190819224