Search a number
-
+
272214030270 = 235713193516643
BaseRepresentation
bin1111110110000100111…
…0000111011110111110
3222000122001201111221010
43331201032013132332
513424443242432040
6325015311220050
725444501036260
oct3754116073676
9860561644833
10272214030270
11a54997a5a56
124490bb17626
131c89236b2c0
14d264b87b30
157133123e80
hex3f613877be

272214030270 has 128 divisors (see below), whose sum is σ = 808246139904. Its totient is φ = 57136472064.

The previous prime is 272214030269. The next prime is 272214030311. The reversal of 272214030270 is 72030412272.

272214030270 is digitally balanced in base 3, because in such base 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268569 + ... + 785211.

It is an arithmetic number, because the mean of its divisors is an integer number (6314422968).

Almost surely, 2272214030270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272214030270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404123069952).

272214030270 is an abundant number, since it is smaller than the sum of its proper divisors (536032109634).

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

272214030270 is a wasteful number, since it uses less digits than its factorization.

272214030270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516866.

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 272214030270 in words is "two hundred seventy-two billion, two hundred fourteen million, thirty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 193 195 210 273 386 390 455 546 579 910 965 1158 1351 1365 1930 2509 2702 2730 2895 4053 5018 5790 6755 7527 8106 12545 13510 15054 17563 20265 25090 35126 37635 40530 52689 75270 87815 105378 175630 263445 516643 526890 1033286 1549929 2583215 3099858 3616501 5166430 6716359 7233002 7749645 10849503 13432718 15499290 18082505 20149077 21699006 33581795 36165010 40298154 47014513 54247515 67163590 94029026 99712099 100745385 108495030 141043539 199424198 201490770 235072565 282087078 299136297 470145130 498560495 598272594 697984693 705217695 997120990 1296257287 1395969386 1410435390 1495681485 2093954079 2592514574 2991362970 3489923465 3888771861 4187908158 6481286435 6979846930 7777543722 9073801009 10469770395 12962572870 18147602018 19443859305 20939540790 27221403027 38887718610 45369005045 54442806054 90738010090 136107015135 272214030270