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290226464 = 25113126597
BaseRepresentation
bin10001010011001…
…000000100100000
3202020010000212022
4101103020010200
51043244221324
644444321012
710122612203
oct2123100440
9666100768
10290226464
11139909490
1281243168
1348188348
142a78b93a
151a72d05e
hex114c8120

290226464 has 48 divisors (see below), whose sum is σ = 643458816. Its totient is φ = 127660800.

The previous prime is 290226449. The next prime is 290226467. The reversal of 290226464 is 464622092.

It is a super-3 number, since 3×2902264643 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (290226467) 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, 2387 + ... + 24210.

It is an arithmetic number, because the mean of its divisors is an integer number (13405392).

Almost surely, 2290226464 is an apocalyptic number.

It is an amenable number.

290226464 is an abundant number, since it is smaller than the sum of its proper divisors (353232352).

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

290226464 is a wasteful number, since it uses less digits than its factorization.

290226464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26649 (or 26641 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 290226464 is about 17036.0342803130. The cubic root of 290226464 is about 662.0828475827.

The spelling of 290226464 in words is "two hundred ninety million, two hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 26597 53194 106388 212776 292567 425552 585134 824507 851104 1170268 1649014 2340536 3298028 4681072 6596056 9069577 9362144 13192112 18139154 26384224 36278308 72556616 145113232 290226464