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226010820 = 22357538121
BaseRepresentation
bin11010111100010…
…10011011000100
3120202021112120010
431132022123010
5430324321240
634232110220
75413026450
oct1536123304
9522245503
10226010820
11106639302
1263835370
1337a93619
1422033660
1514c96280
hexd78a6c4

226010820 has 48 divisors (see below), whose sum is σ = 723235968. Its totient is φ = 51659520.

The previous prime is 226010791. The next prime is 226010839. The reversal of 226010820 is 28010622.

226010820 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 268641 + ... + 269480.

It is an arithmetic number, because the mean of its divisors is an integer number (15067416).

Almost surely, 2226010820 is an apocalyptic number.

226010820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226010820 is an abundant number, since it is smaller than the sum of its proper divisors (497225148).

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

226010820 is a wasteful number, since it uses less digits than its factorization.

226010820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538140 (or 538138 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 226010820 is about 15033.6562419127. The cubic root of 226010820 is about 609.1296555004.

The spelling of 226010820 in words is "two hundred twenty-six million, ten thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 538121 1076242 1614363 2152484 2690605 3228726 3766847 5381210 6457452 7533694 8071815 10762420 11300541 15067388 16143630 18834235 22601082 32287260 37668470 45202164 56502705 75336940 113005410 226010820