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33225390 = 2355112113
BaseRepresentation
bin111111010111…
…1101010101110
32022112000200000
41332233222232
532001203030
63144045130
7552261012
oct176575256
968460600
1033225390
1117833800
12b1637a6
136b640c3
1445ac542
152db4860
hex1fafaae

33225390 has 144 divisors (see below), whose sum is σ = 99341424. Its totient is φ = 7983360.

The previous prime is 33225349. The next prime is 33225403. The reversal of 33225390 is 9352233.

It is a super-2 number, since 2×332253902 = 2207853081304200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 293974 + ... + 294086.

It is an arithmetic number, because the mean of its divisors is an integer number (689871).

Almost surely, 233225390 is an apocalyptic number.

33225390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33225390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49670712).

33225390 is an abundant number, since it is smaller than the sum of its proper divisors (66116034).

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

33225390 is a wasteful number, since it uses less digits than its factorization.

33225390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 33225390 is about 5764.1469446918. The cubic root of 33225390 is about 321.4820253958.

The spelling of 33225390 in words is "thirty-three million, two hundred twenty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 113 121 135 162 165 198 226 242 243 270 297 330 339 363 405 486 495 565 594 605 678 726 810 891 990 1017 1089 1130 1210 1215 1243 1485 1695 1782 1815 2034 2178 2430 2486 2673 2970 3051 3267 3390 3630 3729 4455 5085 5346 5445 6102 6215 6534 7458 8910 9153 9801 10170 10890 11187 12430 13365 13673 15255 16335 18306 18645 19602 22374 26730 27346 27459 29403 30510 32670 33561 37290 41019 45765 49005 54918 55935 58806 67122 68365 82038 91530 98010 100683 111870 123057 136730 137295 147015 167805 201366 205095 246114 274590 294030 302049 335610 369171 410190 503415 604098 615285 738342 1006830 1107513 1230570 1510245 1845855 2215026 3020490 3322539 3691710 5537565 6645078 11075130 16612695 33225390