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34228255620 = 223513101434479
BaseRepresentation
bin11111111000001010…
…011011101110000100
310021100102111112200010
4133320022123232010
51030044413134440
623420234150220
72321131241466
oct377012335604
9107312445603
1034228255620
1113574a5a069
126772b82370
1332c6384ac0
141929c18136
15d54e3a580
hex7f829bb84

34228255620 has 96 divisors (see below), whose sum is σ = 104233489920. Its totient is φ = 8341977600.

The previous prime is 34228255613. The next prime is 34228255627. The reversal of 34228255620 is 2655282243.

It is an interprime number because it is at equal distance from previous prime (34228255613) and next prime (34228255627).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (34228255627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138460 + ... + 296019.

It is an arithmetic number, because the mean of its divisors is an integer number (1085765520).

Almost surely, 234228255620 is an apocalyptic number.

34228255620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34228255620 is an abundant number, since it is smaller than the sum of its proper divisors (70005234300).

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

34228255620 is a wasteful number, since it uses less digits than its factorization.

34228255620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434605 (or 434603 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 34228255620 in words is "thirty-four billion, two hundred twenty-eight million, two hundred fifty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 101 130 156 195 202 260 303 390 404 505 606 780 1010 1212 1313 1515 2020 2626 3030 3939 5252 6060 6565 7878 13130 15756 19695 26260 39390 78780 434479 868958 1303437 1737916 2172395 2606874 4344790 5213748 5648227 6517185 8689580 11296454 13034370 16944681 22592908 26068740 28241135 33889362 43882379 56482270 67778724 84723405 87764758 112964540 131647137 169446810 175529516 219411895 263294274 338893620 438823790 526588548 570470927 658235685 877647580 1140941854 1316471370 1711412781 2281883708 2632942740 2852354635 3422825562 5704709270 6845651124 8557063905 11409418540 17114127810 34228255620