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2250580248 = 233371978341
BaseRepresentation
bin1000011000100101…
…0010000100011000
312210211212022201000
42012021102010120
514102122031443
61011153425000
7106525421310
oct20611220430
95724768630
102250580248
11a55437284
1252986b160
1329b360bb7
14174c86440
15d28ad8d3
hex86252118

2250580248 has 128 divisors (see below), whose sum is σ = 7520832000. Its totient is φ = 609171840.

The previous prime is 2250580247. The next prime is 2250580249. The reversal of 2250580248 is 8420850522.

2250580248 is a `hidden beast` number, since 2 + 2 + 50 + 580 + 24 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2250580247) and next prime (2250580249).

It is a super-2 number, since 2×22505802482 = 10130222905375483008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250580247) 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, 10443 + ... + 67898.

It is an arithmetic number, because the mean of its divisors is an integer number (58756500).

Almost surely, 22250580248 is an apocalyptic number.

2250580248 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 2250580248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760416000).

2250580248 is an abundant number, since it is smaller than the sum of its proper divisors (5270251752).

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

2250580248 is a wasteful number, since it uses less digits than its factorization.

2250580248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78382 (or 78372 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2250580248 is about 47440.2808592023. The cubic root of 2250580248 is about 1310.4833303822.

The spelling of 2250580248 in words is "two billion, two hundred fifty million, five hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 78341 156682 235023 313364 470046 548387 626728 705069 940092 1096774 1410138 1488479 1645161 1880184 2115207 2193548 2820276 2976958 3290322 4230414 4387096 4465437 4935483 5640552 5953916 6580644 8460828 8930874 9870966 10419353 11907832 13161288 13396311 14806449 16921656 17861748 19741932 20838706 26792622 29612898 31258059 35723496 39483864 40188933 41677412 53585244 59225796 62516118 80377866 83354824 93774177 107170488 118451592 125032236 160755732 187548354 250064472 281322531 321511464 375096708 562645062 750193416 1125290124 2250580248