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2225770752 = 2835949121
BaseRepresentation
bin1000010010101010…
…1001000100000000
312202010011212110210
42010222221010000
514024244131002
61004505554120
7106104511362
oct20452510400
95663155423
102225770752
11a42431567
125214a5940
1329618561a
14171868d32
15d060c96c
hex84aa9100

2225770752 has 72 divisors (see below), whose sum is σ = 6024322080. Its totient is φ = 729333760.

The previous prime is 2225770741. The next prime is 2225770759. The reversal of 2225770752 is 2570775222.

It is a self number, because there is not a number n which added to its sum of digits gives 2225770752.

It is not an unprimeable number, because it can be changed into a prime (2225770759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20752 + ... + 69872.

It is an arithmetic number, because the mean of its divisors is an integer number (83671140).

Almost surely, 22225770752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225770752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012161040).

2225770752 is an abundant number, since it is smaller than the sum of its proper divisors (3798551328).

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

2225770752 is an equidigital number, since it uses as much as digits as its factorization.

2225770752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49199 (or 49185 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 39.

The square root of 2225770752 is about 47178.0749077365. The cubic root of 2225770752 is about 1305.6501122153.

The spelling of 2225770752 in words is "two billion, two hundred twenty-five million, seven hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 944 1416 1888 2832 3776 5664 7552 11328 15104 22656 45312 49121 98242 147363 196484 294726 392968 589452 785936 1178904 1571872 2357808 2898139 3143744 4715616 5796278 6287488 8694417 9431232 11592556 12574976 17388834 18862464 23185112 34777668 37724928 46370224 69555336 92740448 139110672 185480896 278221344 370961792 556442688 741923584 1112885376 2225770752