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2275003680 = 253511034297
BaseRepresentation
bin1000011110011001…
…1100110100100000
312212112211011100120
42013212130310200
514124400104210
61013425120240
7110243132535
oct20746346440
95775734316
102275003680
11a681a8a34
12535a89080
132a3432831
14178202d8c
15d4ad5270
hex8799cd20

2275003680 has 96 divisors (see below), whose sum is σ = 7174427904. Its totient is φ = 605976576.

The previous prime is 2275003649. The next prime is 2275003691. The reversal of 2275003680 is 863005722.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527292 + ... + 531588.

It is an arithmetic number, because the mean of its divisors is an integer number (74733624).

Almost surely, 22275003680 is an apocalyptic number.

2275003680 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 2275003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587213952).

2275003680 is an abundant number, since it is smaller than the sum of its proper divisors (4899424224).

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

2275003680 is a wasteful number, since it uses less digits than its factorization.

2275003680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2275003680 is about 47696.9986477137. The cubic root of 2275003680 is about 1315.2067662938.

The spelling of 2275003680 in words is "two billion, two hundred seventy-five million, three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1103 2206 3309 4297 4412 5515 6618 8594 8824 11030 12891 13236 16545 17188 17648 21485 22060 25782 26472 33090 34376 35296 42970 44120 51564 52944 64455 66180 68752 85940 88240 103128 105888 128910 132360 137504 171880 176480 206256 257820 264720 343760 412512 515640 529440 687520 1031280 2062560 4739591 9479182 14218773 18958364 23697955 28437546 37916728 47395910 56875092 71093865 75833456 94791820 113750184 142187730 151666912 189583640 227500368 284375460 379167280 455000736 568750920 758334560 1137501840 2275003680