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2298434028084 = 22321729314177543
BaseRepresentation
bin100001011100100101010…
…110000000001000110100
322010201122211010021002100
4201130211112000020310
5300124143102344314
64515515213542100
7325025223613545
oct41344526001064
98121584107070
102298434028084
118068400a8217
12311550aa4930
13138983b1277c
147d35da384cc
153ebc2e5ec09
hex21725580234

2298434028084 has 144 divisors (see below), whose sum is σ = 6569104389120. Its totient is φ = 673753973760.

The previous prime is 2298434028073. The next prime is 2298434028097. The reversal of 2298434028084 is 4808204348922.

2298434028084 is a `hidden beast` number, since 2 + 2 + 9 + 84 + 3 + 402 + 80 + 84 = 666.

It is a super-2 number, since 2×22984340280842 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2298434028084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1538584 + ... + 2638959.

It is an arithmetic number, because the mean of its divisors is an integer number (45618780480).

Almost surely, 22298434028084 is an apocalyptic number.

It is an amenable number.

2298434028084 is an abundant number, since it is smaller than the sum of its proper divisors (4270670361036).

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

2298434028084 is a wasteful number, since it uses less digits than its factorization.

2298434028084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177630 (or 4177625 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 2298434028084 in words is "two trillion, two hundred ninety-eight billion, four hundred thirty-four million, twenty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 29 31 34 36 51 58 62 68 87 93 102 116 124 153 174 186 204 261 279 306 348 372 493 522 527 558 612 899 986 1044 1054 1116 1479 1581 1798 1972 2108 2697 2958 3162 3596 4437 4743 5394 5916 6324 8091 8874 9486 10788 15283 16182 17748 18972 30566 32364 45849 61132 91698 137547 183396 275094 550188 4177543 8355086 12532629 16710172 25065258 37597887 50130516 71018231 75195774 121148747 129503833 142036462 150391548 213054693 242297494 259007666 284072924 363446241 388511499 426109386 484594988 518015332 639164079 726892482 777022998 852218772 1090338723 1165534497 1278328158 1453784964 1554045996 2059528699 2180677446 2201565161 2331068994 2556656316 3755611157 4119057398 4361354892 4403130322 4662137988 6178586097 6604695483 7511222314 8238114796 8806260644 11266833471 12357172194 13209390966 15022444628 18535758291 19814086449 22533666942 24714344388 26418781932 33800500413 37071516582 39628172898 45067333884 63845389669 67601000826 74143033164 79256345796 127690779338 135202001652 191536169007 255381558676 383072338014 574608507021 766144676028 1149217014042 2298434028084