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2240255342540 = 2251814798091597
BaseRepresentation
bin100000100110011001100…
…111111011011111001100
321221011111020122211002002
4200212121213323133030
5243201020331430130
64433054210451432
7320565421135535
oct40463147733714
97834436584062
102240255342540
117940a5812716
12302214b93b78
131333417c9157
147a60100968c
153d41a575b45
hex209999fb7cc

2240255342540 has 96 divisors (see below), whose sum is σ = 4749235545600. Its totient is φ = 887635445760.

The previous prime is 2240255342443. The next prime is 2240255342557. The reversal of 2240255342540 is 452435520422.

It is a junction number, because it is equal to n+sod(n) for n = 2240255342494 and 2240255342503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402789022 + ... + 1402790618.

It is an arithmetic number, because the mean of its divisors is an integer number (49471203600).

Almost surely, 22240255342540 is an apocalyptic number.

2240255342540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240255342540 is an abundant number, since it is smaller than the sum of its proper divisors (2508980203060).

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

2240255342540 is a wasteful number, since it uses less digits than its factorization.

2240255342540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 38.

The spelling of 2240255342540 in words is "two trillion, two hundred forty billion, two hundred fifty-five million, three hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 181 362 479 724 809 905 958 1597 1618 1810 1916 2395 3194 3236 3620 4045 4790 6388 7985 8090 9580 15970 16180 31940 86699 146429 173398 289057 292858 346796 387511 433495 578114 585716 732145 764963 775022 866990 1156228 1291973 1445285 1464290 1529926 1550044 1733980 1937555 2583946 2890570 2928580 3059852 3824815 3875110 5167892 5781140 6459865 7649630 7750220 12919730 15299260 25839460 70139491 138458303 140278982 233847113 276916606 280557964 350697455 467694226 553833212 618855067 692291515 701394910 935388452 1169235565 1237710134 1384583030 1402789820 2338471130 2475420268 2769166060 3094275335 4676942260 6188550670 12377101340 112012767127 224025534254 448051068508 560063835635 1120127671270 2240255342540