Search a number
-
+
230064122500 = 22545321812
BaseRepresentation
bin1101011001000011100…
…0111110101010000100
3210222211120020100101221
43112100320332222010
512232132403410000
6253405012330124
722423126526632
oct3262070765204
9728746210357
10230064122500
118962a221433
1238708013944
1318905a75784
14b1c6c5c352
155eb7a1761a
hex3590e3ea84

230064122500 has 135 divisors (see below), whose sum is σ = 515624527803. Its totient is φ = 89790480000.

The previous prime is 230064122383. The next prime is 230064122521. The reversal of 230064122500 is 5221460032.

The square root of 230064122500 is 479650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 126555216516 + 103508905984 = 355746^2 + 321728^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1271072410 + ... + 1271072590.

Almost surely, 2230064122500 is an apocalyptic number.

230064122500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230064122500 is the 479650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230064122500

230064122500 is an abundant number, since it is smaller than the sum of its proper divisors (285560405303).

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

230064122500 is an frugal number, since it uses more digits than its factorization.

230064122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Multiplying 230064122500 by its sum of digits (25), we get a square (5751603062500 = 23982502).

230064122500 divided by its sum of digits (25) gives a square (9202564900 = 959302).

Adding to 230064122500 its reverse (5221460032), we get a palindrome (235285582532).

The spelling of 230064122500 in words is "two hundred thirty billion, sixty-four million, one hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 181 212 250 265 362 500 530 625 724 905 1060 1250 1325 1810 2500 2650 2809 3620 4525 5300 5618 6625 9050 9593 11236 13250 14045 18100 19186 22625 26500 28090 32761 33125 38372 45250 47965 56180 65522 66250 70225 90500 95930 113125 131044 132500 140450 163805 191860 226250 239825 280900 327610 351125 452500 479650 508429 655220 702250 819025 959300 1016858 1199125 1404500 1638050 1736333 1755625 2033716 2398250 2542145 3276100 3472666 3511250 4095125 4796500 5084290 5995625 6945332 7022500 8190250 8681665 10168580 11991250 12710725 16380500 17363330 20475625 23982500 25421450 34726660 40951250 43408325 50842900 63553625 81902500 86816650 92025649 127107250 173633300 184051298 217041625 254214500 317768125 368102596 434083250 460128245 635536250 868166500 920256490 1085208125 1271072500 1840512980 2170416250 2300641225 4340832500 4601282450 9202564900 11503206125 23006412250 46012824500 57516030625 115032061250 230064122500