Search a number
-
+
230761667400 = 233521134963889
BaseRepresentation
bin1101011011101001110…
…1111001101101001000
3211001122011210022010020
43112322131321231020
512240044441324100
6254002131220440
722446326544345
oct3267235715510
9731564708106
10230761667400
1189957a44220
1238881747720
13189b7435534
14b2517577cc
156008da25a0
hex35ba779b48

230761667400 has 96 divisors (see below), whose sum is σ = 780394024800. Its totient is φ = 55942220800.

The previous prime is 230761667369. The next prime is 230761667503. The reversal of 230761667400 is 4766167032.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17475345 + ... + 17488544.

It is an arithmetic number, because the mean of its divisors is an integer number (8129104425).

Almost surely, 2230761667400 is an apocalyptic number.

230761667400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230761667400 is an abundant number, since it is smaller than the sum of its proper divisors (549632357400).

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

230761667400 is a wasteful number, since it uses less digits than its factorization.

230761667400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34963919 (or 34963910 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 230761667400 in words is "two hundred thirty billion, seven hundred sixty-one million, six hundred sixty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 34963889 69927778 104891667 139855556 174819445 209783334 279711112 349638890 384602779 419566668 524458335 699277780 769205558 839133336 874097225 1048916670 1153808337 1398555560 1538411116 1748194450 1923013895 2097833340 2307616674 2622291675 3076822232 3496388900 3846027790 4195666680 4615233348 5244583350 5769041685 6992777800 7692055580 9230466696 9615069475 10489166700 11538083370 15384111160 19230138950 20978333400 23076166740 28845208425 38460277900 46152333480 57690416850 76920555800 115380833700 230761667400