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2283242012460 = 2233537114276377
BaseRepresentation
bin100001001110011011110…
…101000011111100101100
322002021110001122220111000
4201032123311003330230
5244402034423344320
64504523520200300
7323646602613033
oct41163365037454
98067401586430
102283242012460
11800354657002
1230a611169090
13137402576706
147c71c10d71a
153e5d436bc90
hex2139bd43f2c

2283242012460 has 96 divisors (see below), whose sum is σ = 7295403971520. Its totient is φ = 592408733184.

The previous prime is 2283242012449. The next prime is 2283242012461. The reversal of 2283242012460 is 642102423822.

2283242012460 is a `hidden beast` number, since 2 + 28 + 32 + 420 + 124 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2283242012461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57118209 + ... + 57158168.

It is an arithmetic number, because the mean of its divisors is an integer number (75993791370).

Almost surely, 22283242012460 is an apocalyptic number.

2283242012460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2283242012460 is an abundant number, since it is smaller than the sum of its proper divisors (5012161959060).

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

2283242012460 is a wasteful number, since it uses less digits than its factorization.

2283242012460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114276432 (or 114276424 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 2283242012460 in words is "two trillion, two hundred eighty-three billion, two hundred forty-two million, twelve thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 9990 19980 114276377 228552754 342829131 457105508 571381885 685658262 1028487393 1142763770 1371316524 1714145655 2056974786 2285527540 3085462179 3428291310 4113949572 4228225949 5142436965 6170924358 6856582620 8456451898 10284873930 12341848716 12684677847 15427310895 16912903796 20569747860 21141129745 25369355694 30854621790 38054033541 42282259490 50738711388 61709243580 63423389235 76108067082 84564518980 114162100623 126846778470 152216134164 190270167705 228324201246 253693556940 380540335410 456648402492 570810503115 761080670820 1141621006230 2283242012460