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1826228520 = 2332523220559
BaseRepresentation
bin110110011011010…
…0000100100101000
311201021101000120100
41230312200210220
512220003303040
6501114225400
763153454254
oct15466404450
94637330510
101826228520
11857949576
1242b725260
132314744bc
14134783264
15aa4d9b30
hex6cda0928

1826228520 has 96 divisors (see below), whose sum is σ = 6193324800. Its totient is φ = 465818496.

The previous prime is 1826228471. The next prime is 1826228527. The reversal of 1826228520 is 258226281.

1826228520 is a `hidden beast` number, since 1 + 8 + 2 + 622 + 8 + 5 + 20 = 666.

It is a super-2 number, since 2×18262285202 = 6670221214522780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1826228527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102000 + ... + 118559.

It is an arithmetic number, because the mean of its divisors is an integer number (64513800).

Almost surely, 21826228520 is an apocalyptic number.

1826228520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1826228520 is an abundant number, since it is smaller than the sum of its proper divisors (4367096280).

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

1826228520 is a wasteful number, since it uses less digits than its factorization.

1826228520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220599 (or 220592 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1826228520 is about 42734.3950466132. The cubic root of 1826228520 is about 1222.3203444578.

The spelling of 1826228520 in words is "one billion, eight hundred twenty-six million, two hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 220559 441118 661677 882236 1102795 1323354 1764472 1985031 2205590 2646708 3308385 3970062 4411180 5072857 5293416 6616770 7940124 8822360 9925155 10145714 13233540 15218571 15880248 19850310 20291428 25364285 26467080 30437142 39700620 40582856 45655713 50728570 60874284 76092855 79401240 91311426 101457140 121748568 152185710 182622852 202914280 228278565 304371420 365245704 456557130 608742840 913114260 1826228520