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2293753680 = 243351497127
BaseRepresentation
bin1000100010110111…
…1110011101010000
312220212002202112000
42020231332131100
514144200104210
61015335034000
7110561404341
oct21055763520
95825082460
102293753680
11a778450a9
1254020b900
132a7298cca
1417a8c40c8
15d658aac0
hex88b7e750

2293753680 has 160 divisors (see below), whose sum is σ = 7954848000. Its totient is φ = 607477248.

The previous prime is 2293753669. The next prime is 2293753681. The reversal of 2293753680 is 863573922.

2293753680 is a `hidden beast` number, since 2 + 2 + 9 + 37 + 536 + 80 = 666.

2293753680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22937536802 = 10522611889027084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293753681) 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, 318277 + ... + 325403.

It is an arithmetic number, because the mean of its divisors is an integer number (49717800).

Almost surely, 22293753680 is an apocalyptic number.

2293753680 is a gapful number since it is divisible by the number (20) 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 2293753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977424000).

2293753680 is an abundant number, since it is smaller than the sum of its proper divisors (5661094320).

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

2293753680 is a wasteful number, since it uses less digits than its factorization.

2293753680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7298 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2293753680 is about 47893.1485705419. The cubic root of 2293753680 is about 1318.8100846968.

The spelling of 2293753680 in words is "two billion, two hundred ninety-three million, seven hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 149 180 216 240 270 298 360 432 447 540 596 720 745 894 1080 1192 1341 1490 1788 2160 2235 2384 2682 2980 3576 4023 4470 5364 5960 6705 7127 7152 8046 8940 10728 11920 13410 14254 16092 17880 20115 21381 21456 26820 28508 32184 35635 35760 40230 42762 53640 57016 64143 64368 71270 80460 85524 106905 107280 114032 128286 142540 160920 171048 192429 213810 256572 285080 320715 321840 342096 384858 427620 513144 570160 641430 769716 855240 962145 1026288 1061923 1282860 1539432 1710480 1924290 2123846 2565720 3078864 3185769 3848580 4247692 5131440 5309615 6371538 7697160 8495384 9557307 10619230 12743076 15394320 15928845 16990768 19114614 21238460 25486152 28671921 31857690 38229228 42476920 47786535 50972304 57343842 63715380 76458456 84953840 95573070 114687684 127430760 143359605 152916912 191146140 229375368 254861520 286719210 382292280 458750736 573438420 764584560 1146876840 2293753680