Search a number
-
+
30023321400 = 23325223725201
BaseRepresentation
bin11011111101100001…
…111000011100111000
32212111101011202022200
4123331201320130320
5442441432241100
621443103550200
72112002010162
oct337541703470
985441152280
1030023321400
1111807422816
12599a8bb360
132aa616c247
14164b599932
15baabd3e00
hex6fd878738

30023321400 has 144 divisors (see below), whose sum is σ = 105212306160. Its totient is φ = 7658112000.

The previous prime is 30023321399. The next prime is 30023321407. The reversal of 30023321400 is 412332003.

30023321400 is a `hidden beast` number, since 30 + 0 + 233 + 2 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30023321407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 321201 + ... + 404000.

It is an arithmetic number, because the mean of its divisors is an integer number (730641015).

Almost surely, 230023321400 is an apocalyptic number.

30023321400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30023321400 is an abundant number, since it is smaller than the sum of its proper divisors (75188984760).

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

30023321400 is a wasteful number, since it uses less digits than its factorization.

30023321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725246 (or 725234 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30023321400 its reverse (412332003), we get a palindrome (30435653403).

The spelling of 30023321400 in words is "thirty billion, twenty-three million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 828 900 920 1035 1150 1380 1656 1725 1800 2070 2300 2760 3450 4140 4600 5175 6900 8280 10350 13800 20700 41400 725201 1450402 2175603 2900804 3626005 4351206 5801608 6526809 7252010 8702412 10878015 13053618 14504020 16679623 17404824 18130025 21756030 26107236 29008040 32634045 33359246 36260050 43512060 50038869 52214472 54390075 65268090 66718492 72520100 83398115 87024120 100077738 108780150 130536180 133436984 145040200 150116607 163170225 166796230 200155476 217560300 250194345 261072360 300233214 326340450 333592460 400310952 416990575 435120600 500388690 600466428 652680900 667184920 750583035 833981150 1000777380 1200932856 1250971725 1305361800 1501166070 1667962300 2001554760 2501943450 3002332140 3335924600 3752915175 5003886900 6004664280 7505830350 10007773800 15011660700 30023321400