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2293090920 = 2332511356369
BaseRepresentation
bin1000100010101101…
…1100101001101000
312220210212002101100
42020223130221220
514144012402140
61015312521400
7110552644161
oct21053345150
95823762340
102293090920
11a7743216a
1253bb50260
132a70c6443
1417a790768
15d64a9530
hex88adca68

2293090920 has 96 divisors (see below), whose sum is σ = 7518630600. Its totient is φ = 606068736.

The previous prime is 2293090907. The next prime is 2293090931. The reversal of 2293090920 is 290903922.

It can be written as a sum of positive squares in 4 ways, for example, as 559700964 + 1733389956 = 23658^2 + 41634^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12496 + ... + 68864.

Almost surely, 22293090920 is an apocalyptic number.

2293090920 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 2293090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759315300).

2293090920 is an abundant number, since it is smaller than the sum of its proper divisors (5225539680).

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

2293090920 is a wasteful number, since it uses less digits than its factorization.

2293090920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56499 (or 56492 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 2293090920 is about 47886.2289181347. The cubic root of 2293090920 is about 1318.6830529269.

The spelling of 2293090920 in words is "two billion, two hundred ninety-three million, ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3390 4068 4520 5085 6780 8136 10170 13560 20340 40680 56369 112738 169107 225476 281845 338214 450952 507321 563690 676428 845535 1014642 1127380 1352856 1691070 2029284 2254760 2536605 3382140 4058568 5073210 6369697 6764280 10146420 12739394 19109091 20292840 25478788 31848485 38218182 50957576 57327273 63696970 76436364 95545455 114654546 127393940 152872728 191090910 229309092 254787880 286636365 382181820 458618184 573272730 764363640 1146545460 2293090920