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2285703648 = 253219617677
BaseRepresentation
bin1000100000111101…
…0001000111100000
312220021221202221200
42020033101013200
514140120004043
61014450321200
7110433106014
oct21017210740
95807852850
102285703648
11a73246a88
12539589200
132a570ab87
141797ca544
15d59ea7d3
hex883d11e0

2285703648 has 144 divisors (see below), whose sum is σ = 6863285520. Its totient is φ = 719566848.

The previous prime is 2285703647. The next prime is 2285703649. The reversal of 2285703648 is 8463075822.

2285703648 is a `hidden beast` number, since 2 + 2 + 8 + 570 + 36 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2285703647) and next prime (2285703649).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285703647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3375886 + ... + 3376562.

It is an arithmetic number, because the mean of its divisors is an integer number (47661705).

Almost surely, 22285703648 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 2285703648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431642760).

2285703648 is an abundant number, since it is smaller than the sum of its proper divisors (4577581872).

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

2285703648 is a wasteful number, since it uses less digits than its factorization.

2285703648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2285703648 is about 47809.0331213673. The cubic root of 2285703648 is about 1317.2654684925.

The spelling of 2285703648 in words is "two billion, two hundred eighty-five million, seven hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 617 677 684 912 1234 1354 1368 1824 1851 2031 2468 2708 2736 3702 4062 4936 5416 5472 5553 6093 7404 8124 9872 10832 11106 11723 12186 12863 14808 16248 19744 21664 22212 23446 24372 25726 29616 32496 35169 38589 44424 46892 48744 51452 59232 64992 70338 77178 88848 93784 97488 102904 105507 115767 140676 154356 177696 187568 194976 205808 211014 231534 281352 308712 375136 411616 417709 422028 463068 562704 617424 835418 844056 926136 1125408 1234848 1253127 1670836 1688112 1852272 2506254 3341672 3376224 3704544 3759381 5012508 6683344 7518762 7936471 10025016 13366688 15037524 15872942 20050032 23809413 30075048 31745884 40100064 47618826 60150096 63491768 71428239 95237652 120300192 126983536 142856478 190475304 253967072 285712956 380950608 571425912 761901216 1142851824 2285703648