Search a number
-
+
22730390232 = 233111937312149
BaseRepresentation
bin10101001010110101…
…100011101011011000
32011200010020110111220
4111022311203223120
5333022434441412
614235303052040
71433165062164
oct251265435330
964603213456
1022730390232
119704792680
1244a4441020
1321b3271b64
141158b89ca4
158d080568c
hex54ad63ad8

22730390232 has 128 divisors (see below), whose sum is σ = 65435040000. Its totient is φ = 6507440640.

The previous prime is 22730390231. The next prime is 22730390273. The reversal of 22730390232 is 23209303722.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22730390193 and 22730390202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22730390231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1864894 + ... + 1877042.

It is an arithmetic number, because the mean of its divisors is an integer number (511211250).

Almost surely, 222730390232 is an apocalyptic number.

22730390232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22730390232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32717520000).

22730390232 is an abundant number, since it is smaller than the sum of its proper divisors (42704649768).

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

22730390232 is a wasteful number, since it uses less digits than its factorization.

22730390232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12561 (or 12557 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

Adding to 22730390232 its reverse (23209303722), we get a palindrome (45939693954).

The spelling of 22730390232 in words is "twenty-two billion, seven hundred thirty million, three hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 373 418 456 627 746 836 1119 1254 1492 1672 2238 2508 2984 4103 4476 5016 7087 8206 8952 12149 12309 14174 16412 21261 24298 24618 28348 32824 36447 42522 48596 49236 56696 72894 77957 85044 97192 98472 133639 145788 155914 170088 230831 233871 267278 291576 311828 400917 461662 467742 534556 623656 692493 801834 923324 935484 1069112 1384986 1603668 1846648 1870968 2539141 2769972 3207336 4531577 5078282 5539944 7617423 9063154 10156564 13594731 15234846 18126308 20313128 27189462 30469692 36252616 49847347 54378924 60939384 86099963 99694694 108757848 149542041 172199926 199389388 258299889 299084082 344399852 398778776 516599778 598168164 688799704 947099593 1033199556 1196336328 1894199186 2066399112 2841298779 3788398372 5682597558 7576796744 11365195116 22730390232