Search a number
-
+
221400379640 = 235111926483299
BaseRepresentation
bin1100111000110001111…
…1011011000011111000
3210011110202212121110202
43032030133123003320
512111411444122030
6245413202301332
721665336114246
oct3161437330370
9704422777422
10221400379640
1185993819170
1236aaa657848
1317b54b792cb
14aa04377796
155b5c10c745
hex338c7db0f8

221400379640 has 64 divisors (see below), whose sum is σ = 572039280000. Its totient is φ = 76271898240.

The previous prime is 221400379633. The next prime is 221400379643. The reversal of 221400379640 is 46973004122.

It is a super-2 number, since 2×2214003796402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 221400379594 and 221400379603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221400379643) 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, 13233290 + ... + 13250009.

It is an arithmetic number, because the mean of its divisors is an integer number (8938113750).

Almost surely, 2221400379640 is an apocalyptic number.

221400379640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221400379640 is an abundant number, since it is smaller than the sum of its proper divisors (350638900360).

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

221400379640 is a wasteful number, since it uses less digits than its factorization.

221400379640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26483340 (or 26483336 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 221400379640 in words is "two hundred twenty-one billion, four hundred million, three hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 26483299 52966598 105933196 132416495 211866392 264832990 291316289 503182681 529665980 582632578 1006365362 1059331960 1165265156 1456581445 2012730724 2330530312 2515913405 2913162890 4025461448 5031826810 5535009491 5826325780 10063653620 11070018982 11652651560 20127307240 22140037964 27675047455 44280075928 55350094910 110700189820 221400379640