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2226673620 = 2232512370409
BaseRepresentation
bin1000010010111000…
…0101011111010100
312202011212201222100
42010232011133110
514030012023440
61004541202100
7106115261553
oct20456053724
95664781870
102226673620
11a42998936
12521860330
13296410572
14171a21d9a
15d073a230
hex84b857d4

2226673620 has 36 divisors (see below), whose sum is σ = 6754243860. Its totient is φ = 593779584.

The previous prime is 2226673499. The next prime is 2226673639. The reversal of 2226673620 is 263766222.

2226673620 is a `hidden beast` number, since 2 + 2 + 26 + 6 + 7 + 3 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1593446724 + 633226896 = 39918^2 + 25164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6185025 + ... + 6185384.

It is an arithmetic number, because the mean of its divisors is an integer number (187617885).

Almost surely, 22226673620 is an apocalyptic number.

2226673620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226673620 is an abundant number, since it is smaller than the sum of its proper divisors (4527570240).

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

2226673620 is a wasteful number, since it uses less digits than its factorization.

2226673620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12370424 (or 12370419 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2226673620 is about 47187.6426620360. The cubic root of 2226673620 is about 1305.8266308955.

The spelling of 2226673620 in words is "two billion, two hundred twenty-six million, six hundred seventy-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12370409 24740818 37111227 49481636 61852045 74222454 111333681 123704090 148444908 185556135 222667362 247408180 371112270 445334724 556668405 742224540 1113336810 2226673620