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2250918060 = 2235311976143
BaseRepresentation
bin1000011000101010…
…0100100010101100
312210212111111002120
42012022210202230
514102213334220
61011204552540
7106531326216
oct20612444254
95725444076
102250918060
11a55648066
125299b2750
1329b44b8a1
14174d335b6
15d2928a40
hex862a48ac

2250918060 has 96 divisors (see below), whose sum is σ = 6539968512. Its totient is φ = 577839360.

The previous prime is 2250918037. The next prime is 2250918067. The reversal of 2250918060 is 608190522.

It is a super-2 number, since 2×22509180602 = 10133264225668327200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2250918067) 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, 363349 + ... + 369491.

It is an arithmetic number, because the mean of its divisors is an integer number (68124672).

Almost surely, 22250918060 is an apocalyptic number.

2250918060 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 2250918060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269984256).

2250918060 is an abundant number, since it is smaller than the sum of its proper divisors (4289050452).

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

2250918060 is a wasteful number, since it uses less digits than its factorization.

2250918060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6383 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2250918060 is about 47443.8411176835. The cubic root of 2250918060 is about 1310.5488949327.

The spelling of 2250918060 in words is "two billion, two hundred fifty million, nine hundred eighteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 197 310 372 394 465 591 620 788 930 985 1182 1860 1970 2364 2955 3940 5910 6107 6143 11820 12214 12286 18321 18429 24428 24572 30535 30715 36642 36858 61070 61430 73284 73716 91605 92145 122140 122860 183210 184290 190433 366420 368580 380866 571299 761732 952165 1142598 1210171 1904330 2285196 2420342 2856495 3630513 3808660 4840684 5712990 6050855 7261026 11425980 12101710 14522052 18152565 24203420 36305130 37515301 72610260 75030602 112545903 150061204 187576505 225091806 375153010 450183612 562729515 750306020 1125459030 2250918060