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215090070240 = 25351777252169
BaseRepresentation
bin1100100001010001011…
…1100000001011100000
3202120011222220200022210
43020110113200023200
512011001024221430
6242451102402120
721353063300613
oct3102427401340
9676158820283
10215090070240
1183245812331
1235829290340
131738a713116
14a5a627017a
1558dd12b2b0
hex32145e02e0

215090070240 has 96 divisors (see below), whose sum is σ = 677917689120. Its totient is φ = 57324847104.

The previous prime is 215090070233. The next prime is 215090070257. The reversal of 215090070240 is 42070090512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 215090070198 and 215090070207.

It is a congruent number.

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, 726876 + ... + 979044.

It is an arithmetic number, because the mean of its divisors is an integer number (7061642595).

Almost surely, 2215090070240 is an apocalyptic number.

215090070240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215090070240 is an abundant number, since it is smaller than the sum of its proper divisors (462827618880).

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

215090070240 is a wasteful number, since it uses less digits than its factorization.

215090070240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253964 (or 253956 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 215090070240 in words is "two hundred fifteen billion, ninety million, seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1777 3554 5331 7108 8885 10662 14216 17770 21324 26655 28432 35540 42648 53310 56864 71080 85296 106620 142160 170592 213240 252169 284320 426480 504338 756507 852960 1008676 1260845 1513014 2017352 2521690 3026028 3782535 4034704 5043380 6052056 7565070 8069408 10086760 12104112 15130140 20173520 24208224 30260280 40347040 60520560 121041120 448104313 896208626 1344312939 1792417252 2240521565 2688625878 3584834504 4481043130 5377251756 6721564695 7169669008 8962086260 10754503512 13443129390 14339338016 17924172520 21509007024 26886258780 35848345040 43018014048 53772517560 71696690080 107545035120 215090070240