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226823190200 = 23521766712703
BaseRepresentation
bin1101001100111110110…
…1110011011010111000
3210200110200211221002022
43103033231303122320
512204013214041300
6252111240054012
722246614206465
oct3231755633270
9720420757068
10226823190200
1188216860a92
1237b62764308
131850a4a4c59
14ad9a65a66c
155d78231285
hex34cfb736b8

226823190200 has 48 divisors (see below), whose sum is σ = 558385332480. Its totient is φ = 85392258560.

The previous prime is 226823190163. The next prime is 226823190203. The reversal of 226823190200 is 2091328622.

It is a super-2 number, since 2×2268231902002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226823190203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33352952 + ... + 33359751.

It is an arithmetic number, because the mean of its divisors is an integer number (11633027760).

Almost surely, 2226823190200 is an apocalyptic number.

226823190200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226823190200 is an abundant number, since it is smaller than the sum of its proper divisors (331562142280).

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

226823190200 is a wasteful number, since it uses less digits than its factorization.

226823190200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66712736 (or 66712727 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 226823190200 in words is "two hundred twenty-six billion, eight hundred twenty-three million, one hundred ninety thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 66712703 133425406 266850812 333563515 533701624 667127030 1134115951 1334254060 1667817575 2268231902 2668508120 3335635150 4536463804 5670579755 6671270300 9072927608 11341159510 13342540600 22682319020 28352898775 45364638040 56705797550 113411595100 226823190200