Search a number
-
+
2255412505120 = 25583682724877
BaseRepresentation
bin100000110100100001000…
…011111010101000100000
321222121121120112110021221
4200310201003322220200
5243423041100130440
64444042221224424
7321643136656105
oct40644103725040
97877546473257
102255412505120
1179a573619265
12305145102114
131348b8a812c8
147b23c060aac
153da06081d4a
hex20d210faa20

2255412505120 has 96 divisors (see below), whose sum is σ = 5393616475968. Its totient is φ = 891129166848.

The previous prime is 2255412505103. The next prime is 2255412505147. The reversal of 2255412505120 is 215052145522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90650122 + ... + 90674998.

It is an arithmetic number, because the mean of its divisors is an integer number (56183504958).

Almost surely, 22255412505120 is an apocalyptic number.

2255412505120 is a gapful number since it is divisible by the number (20) 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 2255412505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696808237984).

2255412505120 is an abundant number, since it is smaller than the sum of its proper divisors (3138203970848).

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

2255412505120 is a wasteful number, since it uses less digits than its factorization.

2255412505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31802 (or 31794 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The spelling of 2255412505120 in words is "two trillion, two hundred fifty-five billion, four hundred twelve million, five hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 6827 13280 13654 24877 27308 34135 49754 54616 68270 99508 109232 124385 136540 199016 218464 248770 273080 398032 497540 546160 566641 796064 995080 1092320 1133282 1990160 2064791 2266564 2833205 3980320 4129582 4533128 5666410 8259164 9066256 10323955 11332820 16518328 18132512 20647910 22665640 33036656 41295820 45331280 66073312 82591640 90662560 165183280 169835279 330366560 339670558 679341116 849176395 1358682232 1698352790 2717364464 3396705580 5434728928 6793411160 13586822320 14096328157 27173644640 28192656314 56385312628 70481640785 112770625256 140963281570 225541250512 281926563140 451082501024 563853126280 1127706252560 2255412505120