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2269140048 = 243373312267
BaseRepresentation
bin1000011101000000…
…0101010001010000
312212010210020222000
42013100011101100
514121344440143
61013055314000
7110142241440
oct20720052120
95763706860
102269140048
11a6496355a
12533b1b900
132a215b926
14177518120
15d4327bd3
hex87405450

2269140048 has 160 divisors (see below), whose sum is σ = 7469521920. Its totient is φ = 646081920.

The previous prime is 2269140031. The next prime is 2269140053. The reversal of 2269140048 is 8400419622.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2269139994 and 2269140021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999811 + ... + 1002077.

It is an arithmetic number, because the mean of its divisors is an integer number (46684512).

Almost surely, 22269140048 is an apocalyptic number.

2269140048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269140048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734760960).

2269140048 is an abundant number, since it is smaller than the sum of its proper divisors (5200381872).

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

2269140048 is a wasteful number, since it uses less digits than its factorization.

2269140048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2269140048 is about 47635.4914743199. The cubic root of 2269140048 is about 1314.0758489191.

The spelling of 2269140048 in words is "two billion, two hundred sixty-nine million, one hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 331 336 378 432 504 662 756 993 1008 1324 1512 1986 2267 2317 2648 2979 3024 3972 4534 4634 5296 5958 6801 6951 7944 8937 9068 9268 11916 13602 13902 15869 15888 17874 18136 18536 20403 20853 23832 27204 27804 31738 35748 36272 37072 40806 41706 47607 47664 54408 55608 61209 62559 63476 71496 81612 83412 95214 108816 111216 122418 125118 126952 142821 142992 163224 166824 190428 244836 250236 253904 285642 326448 333648 380856 428463 489672 500472 571284 750377 761712 856926 979344 1000944 1142568 1500754 1713852 2251131 2285136 3001508 3427704 4502262 5252639 6003016 6753393 6855408 9004524 10505278 12006032 13506786 15757917 18009048 20260179 21010556 27013572 31515834 36018096 40520358 42021112 47273751 54027144 63031668 81040716 84042224 94547502 108054288 126063336 141821253 162081432 189095004 252126672 283642506 324162864 378190008 567285012 756380016 1134570024 2269140048