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33422004 = 22337114019
BaseRepresentation
bin111111101111…
…1101010110100
32022220000101000
41333133222310
532024001004
63152203300
7554040150
oct177375264
968800330
1033422004
11179584a0
12b239530
136c02745
144620060
152e02c39
hex1fdfab4

33422004 has 96 divisors (see below), whose sum is σ = 108057600. Its totient is φ = 8678880.

The previous prime is 33421987. The next prime is 33422021. The reversal of 33422004 is 40022433.

It is an interprime number because it is at equal distance from previous prime (33421987) and next prime (33422021).

It is a super-2 number, since 2×334220042 = 2234060702752032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6307 + ... + 10325.

It is an arithmetic number, because the mean of its divisors is an integer number (1125600).

Almost surely, 233422004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33422004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54028800).

33422004 is an abundant number, since it is smaller than the sum of its proper divisors (74635596).

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

33422004 is a wasteful number, since it uses less digits than its factorization.

33422004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 33422004 is about 5781.1766968326. The cubic root of 33422004 is about 322.1149108282.

Adding to 33422004 its reverse (40022433), we get a palindrome (73444437).

The spelling of 33422004 in words is "thirty-three million, four hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4019 4158 8038 8316 12057 16076 24114 28133 36171 44209 48228 56266 72342 84399 88418 108513 112532 132627 144684 168798 176836 217026 253197 265254 309463 337596 397881 434052 506394 530508 618926 759591 795762 928389 1012788 1193643 1237852 1519182 1591524 1856778 2387286 2785167 3038364 3713556 4774572 5570334 8355501 11140668 16711002 33422004