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226607490 = 233519163271
BaseRepresentation
bin11011000000111…
…00000110000010
3120210101212001000
431200130012002
5431002414430
634252552430
75421063144
oct1540340602
9523355030
10226607490
11106a0661a
1263a82716
1337c42095
142214ac94
1514d62e60
hexd81c182

226607490 has 128 divisors (see below), whose sum is σ = 642355200. Its totient is φ = 56687040.

The previous prime is 226607473. The next prime is 226607527. The reversal of 226607490 is 94706622.

It is a happy number.

226607490 is a `hidden beast` number, since 2 + 2 + 6 + 607 + 49 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 836055 + ... + 836325.

It is an arithmetic number, because the mean of its divisors is an integer number (5018400).

Almost surely, 2226607490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226607490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321177600).

226607490 is an abundant number, since it is smaller than the sum of its proper divisors (415747710).

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

226607490 is a wasteful number, since it uses less digits than its factorization.

226607490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 226607490 is about 15053.4876357607. The cubic root of 226607490 is about 609.6652198650.

The spelling of 226607490 in words is "two hundred twenty-six million, six hundred seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 163 171 190 270 271 285 326 342 489 513 542 570 813 815 855 978 1026 1355 1467 1626 1630 1710 2439 2445 2565 2710 2934 3097 4065 4401 4878 4890 5130 5149 6194 7317 7335 8130 8802 9291 10298 12195 14634 14670 15447 15485 18582 22005 24390 25745 27873 30894 30970 36585 44010 44173 46341 46455 51490 55746 73170 77235 83619 88346 92682 92910 132519 139023 139365 154470 167238 220865 231705 265038 278046 278730 397557 418095 441730 463410 662595 695115 795114 836190 839287 1192671 1325190 1390230 1678574 1987785 2385342 2517861 3975570 4196435 5035722 5963355 7553583 8392870 11926710 12589305 15107166 22660749 25178610 37767915 45321498 75535830 113303745 226607490