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2275626720 = 25359075227
BaseRepresentation
bin1000011110100011…
…0100111011100000
312212120222211000010
42013220310323200
514130030023340
61013450324520
7110251336143
oct20750647340
95776884003
102275626720
11a68594044
12536129740
132a35c02b3
1417832605a
15d4ba9b80
hex87a34ee0

2275626720 has 96 divisors (see below), whose sum is σ = 7177500288. Its totient is φ = 606048768.

The previous prime is 2275626719. The next prime is 2275626761. The reversal of 2275626720 is 276265722.

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

It is a congruent number.

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, 432747 + ... + 437973.

It is an arithmetic number, because the mean of its divisors is an integer number (74765628).

Almost surely, 22275626720 is an apocalyptic number.

2275626720 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 2275626720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588750144).

2275626720 is an abundant number, since it is smaller than the sum of its proper divisors (4901873568).

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

2275626720 is a wasteful number, since it uses less digits than its factorization.

2275626720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 2275626720 is about 47703.5294291733. The cubic root of 2275626720 is about 1315.3268176207.

The spelling of 2275626720 in words is "two billion, two hundred seventy-five million, six hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 907 1814 2721 3628 4535 5227 5442 7256 9070 10454 10884 13605 14512 15681 18140 20908 21768 26135 27210 29024 31362 36280 41816 43536 52270 54420 62724 72560 78405 83632 87072 104540 108840 125448 145120 156810 167264 209080 217680 250896 313620 418160 435360 501792 627240 836320 1254480 2508960 4740889 9481778 14222667 18963556 23704445 28445334 37927112 47408890 56890668 71113335 75854224 94817780 113781336 142226670 151708448 189635560 227562672 284453340 379271120 455125344 568906680 758542240 1137813360 2275626720