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2273360000 = 2754157181
BaseRepresentation
bin1000011110000000…
…1011100010000000
312212102201122122112
42013200023202000
514123440010000
61013325554452
7110223145502
oct20740134200
95772648575
102273360000
11a6728601a
12535415a28
132a2ca8642
14177cd5d72
15d48ad235
hex8780b880

2273360000 has 160 divisors (see below), whose sum is σ = 5726901180. Its totient is φ = 898560000.

The previous prime is 2273359999. The next prime is 2273360009. The reversal of 2273360000 is 633722.

It can be written as a sum of positive squares in 10 ways, for example, as 1012257856 + 1261102144 = 31816^2 + 35512^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2273360009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12559910 + ... + 12560090.

Almost surely, 22273360000 is an apocalyptic number.

2273360000 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 2273360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863450590).

2273360000 is an abundant number, since it is smaller than the sum of its proper divisors (3453541180).

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

2273360000 is an equidigital number, since it uses as much as digits as its factorization.

2273360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 2273360000 is about 47679.7651000925. The cubic root of 2273360000 is about 1314.8899463093.

Adding to 2273360000 its reverse (633722), we get a palindrome (2273993722).

The spelling of 2273360000 in words is "two billion, two hundred seventy-three million, three hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 157 160 181 200 250 314 320 362 400 500 625 628 640 724 785 800 905 1000 1250 1256 1448 1570 1600 1810 2000 2500 2512 2896 3140 3200 3620 3925 4000 4525 5000 5024 5792 6280 7240 7850 8000 9050 10000 10048 11584 12560 14480 15700 16000 18100 19625 20000 20096 22625 23168 25120 28417 28960 31400 36200 39250 40000 45250 50240 56834 57920 62800 72400 78500 80000 90500 98125 100480 113125 113668 115840 125600 142085 144800 157000 181000 196250 226250 227336 251200 284170 289600 314000 362000 392500 452500 454672 502400 568340 579200 628000 710425 724000 785000 905000 909344 1136680 1256000 1420850 1448000 1570000 1810000 1818688 2273360 2512000 2841700 2896000 3140000 3552125 3620000 3637376 4546720 5683400 6280000 7104250 7240000 9093440 11366800 12560000 14208500 14480000 17760625 18186880 22733600 28417000 35521250 45467200 56834000 71042500 90934400 113668000 142085000 227336000 284170000 454672000 568340000 1136680000 2273360000