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2002226625 = 32537713581
BaseRepresentation
bin111011101010111…
…1000110111000001
312011112112122120200
41313111320313001
513100032223000
6530402355413
7100421434260
oct16725706701
95145478520
102002226625
11938228553
1247a65bb69
1325ba769a9
1414dcb85d7
15baba2500
hex77578dc1

2002226625 has 96 divisors (see below), whose sum is σ = 4184234496. Its totient is φ = 902160000.

The previous prime is 2002226609. The next prime is 2002226651. The reversal of 2002226625 is 5266222002.

It is not a de Polignac number, because 2002226625 - 24 = 2002226609 is a prime.

It is a super-2 number, since 2×20022266252 = 8017822915717781250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 557335 + ... + 560915.

It is an arithmetic number, because the mean of its divisors is an integer number (43585776).

Almost surely, 22002226625 is an apocalyptic number.

2002226625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2002226625 is an abundant number, since it is smaller than the sum of its proper divisors (2182007871).

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

2002226625 is a wasteful number, since it uses less digits than its factorization.

2002226625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2002226625 is about 44746.2470493336. The cubic root of 2002226625 is about 1260.3884384392.

Adding to 2002226625 its reverse (5266222002), we get a palindrome (7268448627).

The spelling of 2002226625 in words is "two billion, two million, two hundred twenty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 71 75 105 125 175 213 225 315 355 375 497 525 639 875 1065 1125 1491 1575 1775 2485 2625 3195 3581 4473 5325 7455 7875 8875 10743 12425 15975 17905 22365 25067 26625 32229 37275 53715 62125 75201 79875 89525 111825 125335 161145 186375 225603 254251 268575 376005 447625 559125 626675 762753 805725 1128015 1271255 1342875 1779757 1880025 2288259 3133375 3813765 4028625 5339271 5640075 6356275 8898785 9400125 11441295 16017813 19068825 26696355 28200375 31781375 44493925 57206475 80089065 95344125 133481775 222469625 286032375 400445325 667408875 2002226625