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202838381820 = 22335375626633
BaseRepresentation
bin1011110011101000011…
…1000001010011111100
3201101120011012102101000
42330322013001103330
511310403111204240
6233103242250300
720440344540444
oct2747207012374
9641504172330
10202838381820
1179028a844a8
123338a1b6990
1316187397549
149b63057124
155422741430
hex2f3a1c14fc

202838381820 has 48 divisors (see below), whose sum is σ = 631052745120. Its totient is φ = 54090235008.

The previous prime is 202838381813. The next prime is 202838381827. The reversal of 202838381820 is 28183838202.

It is an interprime number because it is at equal distance from previous prime (202838381813) and next prime (202838381827).

It is a super-2 number, since 2×2028383818202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202838381827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187812777 + ... + 187813856.

It is an arithmetic number, because the mean of its divisors is an integer number (13146932190).

Almost surely, 2202838381820 is an apocalyptic number.

202838381820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202838381820 is an abundant number, since it is smaller than the sum of its proper divisors (428214363300).

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

202838381820 is a wasteful number, since it uses less digits than its factorization.

202838381820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375626651 (or 375626643 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 202838381820 in words is "two hundred two billion, eight hundred thirty-eight million, three hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 375626633 751253266 1126879899 1502506532 1878133165 2253759798 3380639697 3756266330 4507519596 5634399495 6761279394 7512532660 10141919091 11268798990 13522558788 16903198485 20283838182 22537597980 33806396970 40567676364 50709595455 67612793940 101419190910 202838381820