Search a number
-
+
2342250620724 = 2237243110383987
BaseRepresentation
bin100010000101011001000…
…001000010011100110100
322021220202110202210102210
4202011121001002130310
5301333412124330344
64552003131333420
7331136103531600
oct42053101023464
98256673683383
102342250620724
1182338545a853
12319b3abb1270
1313cb477bb971
1481519056500
1540dd9a3ddb9
hex22159042734

2342250620724 has 144 divisors (see below), whose sum is σ = 6511362536448. Its totient is φ = 653050948032.

The previous prime is 2342250620669. The next prime is 2342250620729. The reversal of 2342250620724 is 4270260522432.

It is a super-2 number, since 2×23422506207242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342250620729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27846259 + ... + 27930245.

It is an arithmetic number, because the mean of its divisors is an integer number (45217795392).

Almost surely, 22342250620724 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 2342250620724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255681268224).

2342250620724 is an abundant number, since it is smaller than the sum of its proper divisors (4169111915724).

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

2342250620724 is a wasteful number, since it uses less digits than its factorization.

2342250620724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85154 (or 85145 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 2342250620724 in words is "two trillion, three hundred forty-two billion, two hundred fifty million, six hundred twenty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1103 1204 1806 2107 2206 3309 3612 4214 4412 6321 6618 7721 8428 12642 13236 15442 23163 25284 30884 46326 47429 54047 83987 92652 94858 108094 142287 162141 167974 189716 216188 251961 284574 324282 332003 335948 503922 569148 587909 648564 664006 996009 1007844 1175818 1328012 1763727 1992018 2324021 2351636 3527454 3611441 3984036 4115363 4648042 6972063 7054908 7222882 8230726 9296084 10834323 12346089 13944126 14445764 16461452 21668646 24692178 25280087 27888252 43337292 49384356 50560174 75840261 92637661 101120348 151680522 176960609 185275322 277912983 303361044 353921218 370550644 530881827 555825966 648463627 707842436 1061763654 1111651932 1296927254 1945390881 2123527308 2593854508 3890781762 3983419423 4539245389 7781563524 7966838846 9078490778 11950258269 13617736167 15933677692 18156981556 23900516538 27235472334 27883935961 47801033076 54470944668 55767871922 83651807883 111535743844 167303615766 195187551727 334607231532 390375103454 585562655181 780750206908 1171125310362 2342250620724