Search a number
-
+
2273327070 = 235722695749
BaseRepresentation
bin1000011110000000…
…0011011111011110
312212102122222110220
42013200003133132
514123432431240
61013325142210
7110222650500
oct20740033736
95772588426
102273327070
11a67263303
125353ba966
132a2c96661
14177cc7d70
15d48a35d0
hex878037de

2273327070 has 96 divisors (see below), whose sum is σ = 6371460000. Its totient is φ = 517595904.

The previous prime is 2273327033. The next prime is 2273327071. The reversal of 2273327070 is 707233722.

2273327070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273327071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392556 + ... + 398304.

It is an arithmetic number, because the mean of its divisors is an integer number (66369375).

Almost surely, 22273327070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273327070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185730000).

2273327070 is an abundant number, since it is smaller than the sum of its proper divisors (4098132930).

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

2273327070 is a wasteful number, since it uses less digits than its factorization.

2273327070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 33.

The square root of 2273327070 is about 47679.4197741541. The cubic root of 2273327070 is about 1314.8835974784.

The spelling of 2273327070 in words is "two billion, two hundred seventy-three million, three hundred twenty-seven thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 269 294 490 538 735 807 1345 1470 1614 1883 2690 3766 4035 5649 5749 8070 9415 11298 11498 13181 17247 18830 26362 28245 28745 34494 39543 40243 56490 57490 65905 79086 80486 86235 120729 131810 172470 197715 201215 241458 281701 395430 402430 563402 603645 845103 1207290 1408505 1546481 1690206 2817010 3092962 4225515 4639443 7732405 8451030 9278886 10825367 15464810 21650734 23197215 32476101 46394430 54126835 64952202 75777569 108253670 151555138 162380505 227332707 324761010 378887845 454665414 757775690 1136663535 2273327070