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30407220 = 223251719523
BaseRepresentation
bin111001111111…
…1101000110100
32010012211212100
41303333220310
530241012340
63003422100
7516312534
oct163775064
963184770
1030407220
1116189438
12a224930
1363b844c
1440774c4
152a09830
hex1cffa34

30407220 has 144 divisors (see below), whose sum is σ = 102997440. Its totient is φ = 7216128.

The previous prime is 30407197. The next prime is 30407227. The reversal of 30407220 is 2270403.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 30407193 and 30407202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30407227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57879 + ... + 58401.

It is an arithmetic number, because the mean of its divisors is an integer number (715260).

Almost surely, 230407220 is an apocalyptic number.

30407220 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 30407220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51498720).

30407220 is an abundant number, since it is smaller than the sum of its proper divisors (72590220).

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

30407220 is a wasteful number, since it uses less digits than its factorization.

30407220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 30407220 is about 5514.2742042811. The cubic root of 30407220 is about 312.1228559560.

Adding to 30407220 its reverse (2270403), we get a palindrome (32677623).

The spelling of 30407220 in words is "thirty million, four hundred seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 510 523 570 612 646 684 765 855 969 1020 1046 1140 1292 1530 1569 1615 1710 1938 2092 2615 2907 3060 3138 3230 3420 3876 4707 4845 5230 5814 6276 6460 7845 8891 9414 9690 9937 10460 11628 14535 15690 17782 18828 19380 19874 23535 26673 29070 29811 31380 35564 39748 44455 47070 49685 53346 58140 59622 80019 88910 89433 94140 99370 106692 119244 133365 149055 160038 168929 177820 178866 198740 266730 298110 320076 337858 357732 400095 447165 506787 533460 596220 675716 800190 844645 894330 1013574 1520361 1600380 1689290 1788660 2027148 2533935 3040722 3378580 5067870 6081444 7601805 10135740 15203610 30407220