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30022080 = 2635112843
BaseRepresentation
bin111001010000…
…1100111000000
32002111021112220
41302201213000
530141201310
62551251040
7513116634
oct162414700
962437486
1030022080
1115a46040
12a079a80
1362b205a
143db6dc4
152980670
hex1ca19c0

30022080 has 112 divisors (see below), whose sum is σ = 104022144. Its totient is φ = 7275520.

The previous prime is 30022073. The next prime is 30022081. The reversal of 30022080 is 8022003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30022081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9139 + ... + 11981.

Almost surely, 230022080 is an apocalyptic number.

30022080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52011072).

30022080 is an abundant number, since it is smaller than the sum of its proper divisors (74000064).

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

30022080 is a wasteful number, since it uses less digits than its factorization.

30022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30022080 is about 5479.2408233258. The cubic root of 30022080 is about 310.7994626719.

Adding to 30022080 its reverse (8022003), we get a palindrome (38044083).

The spelling of 30022080 in words is "thirty million, twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 2843 3520 5280 5686 8529 10560 11372 14215 17058 22744 28430 31273 34116 42645 45488 56860 62546 68232 85290 90976 93819 113720 125092 136464 156365 170580 181952 187638 227440 250184 272928 312730 341160 375276 454880 469095 500368 545856 625460 682320 750552 909760 938190 1000736 1250920 1364640 1501104 1876380 2001472 2501840 2729280 3002208 3752760 5003680 6004416 7505520 10007360 15011040 30022080