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807800220 = 2232517299103
BaseRepresentation
bin110000001001100…
…000110110011100
32002022000111120200
4300021200312130
53123244101340
6212053543500
726006121453
oct6011406634
92068014520
10807800220
11384a89297
121a6644b90
13cb4843c6
14793d9b9a
154adb8330
hex30260d9c

807800220 has 144 divisors (see below), whose sum is σ = 2684223360. Its totient is φ = 195729408.

The previous prime is 807800179. The next prime is 807800251. The reversal of 807800220 is 22008708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84189 + ... + 93291.

It is an arithmetic number, because the mean of its divisors is an integer number (18640440).

Almost surely, 2807800220 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 807800220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342111680).

807800220 is an abundant number, since it is smaller than the sum of its proper divisors (1876423140).

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

807800220 is a wasteful number, since it uses less digits than its factorization.

807800220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164 (or 9159 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 807800220 is about 28421.8264719212. The cubic root of 807800220 is about 931.3251314247.

Adding to 807800220 its reverse (22008708), we get a palindrome (829808928).

The spelling of 807800220 in words is "eight hundred seven million, eight hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 145 153 170 174 180 204 255 261 290 306 340 348 435 493 510 522 580 612 765 870 986 1020 1044 1305 1479 1530 1740 1972 2465 2610 2958 3060 4437 4930 5220 5916 7395 8874 9103 9860 14790 17748 18206 22185 27309 29580 36412 44370 45515 54618 81927 88740 91030 109236 136545 154751 163854 182060 263987 273090 309502 327708 409635 464253 527974 546180 619004 773755 791961 819270 928506 1055948 1319935 1392759 1547510 1583922 1638540 1857012 2321265 2375883 2639870 2785518 3095020 3167844 3959805 4487779 4642530 4751766 5279740 5571036 6963795 7919610 8975558 9285060 9503532 11879415 13463337 13927590 15839220 17951116 22438895 23758830 26926674 27855180 40390011 44877790 47517660 53853348 67316685 80780022 89755580 134633370 161560044 201950055 269266740 403900110 807800220