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30274025220 = 223251993072753
BaseRepresentation
bin11100001100011110…
…001111011100000100
32220010211220211022100
4130030132033130010
5444000122301340
621524021232100
72121134653125
oct341436173404
986124824270
1030274025220
111192599725a
125a4a862630
132b1609a0ba
1416729ba04c
15bc2c06830
hex70c78f704

30274025220 has 144 divisors (see below), whose sum is σ = 92626934400. Its totient is φ = 8003432448.

The previous prime is 30274025213. The next prime is 30274025251. The reversal of 30274025220 is 2252047203.

30274025220 is a `hidden beast` number, since 30 + 2 + 7 + 402 + 5 + 220 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10995364 + ... + 10998116.

It is an arithmetic number, because the mean of its divisors is an integer number (643242600).

Almost surely, 230274025220 is an apocalyptic number.

30274025220 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 30274025220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46313467200).

30274025220 is an abundant number, since it is smaller than the sum of its proper divisors (62352909180).

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

30274025220 is a wasteful number, since it uses less digits than its factorization.

30274025220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 30274025220 in words is "thirty billion, two hundred seventy-four million, twenty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 307 398 597 614 796 921 995 1194 1228 1535 1791 1842 1990 2388 2753 2763 2985 3070 3582 3684 3980 4605 5506 5526 5970 6140 7164 8259 8955 9210 11012 11052 11940 13765 13815 16518 17910 18420 24777 27530 27630 33036 35820 41295 49554 55060 55260 61093 82590 99108 122186 123885 165180 183279 244372 247770 305465 366558 495540 547847 549837 610930 733116 845171 916395 1095694 1099674 1221860 1643541 1690342 1832790 2191388 2199348 2535513 2739235 2749185 3287082 3380684 3665580 4225855 4930623 5071026 5478470 5498370 6574164 7606539 8217705 8451710 9861246 10142052 10956940 10996740 12677565 15213078 16435410 16903420 19722492 24653115 25355130 30426156 32870820 38032695 49306230 50710260 76065390 98612460 152130780 168189029 336378058 504567087 672756116 840945145 1009134174 1513701261 1681890290 2018268348 2522835435 3027402522 3363780580 5045670870 6054805044 7568506305 10091341740 15137012610 30274025220