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231201303220 = 225175373175757
BaseRepresentation
bin1101011101010010101…
…0111110101010110100
3211002202211001010002101
43113110222332222310
512242000013200340
6254113514151444
722463245436416
oct3272452765264
9732684033071
10231201303220
118a063121108
1238984a22584
1318a57543984
14b293cb89b6
156032794c9a
hex35d4abeab4

231201303220 has 96 divisors (see below), whose sum is σ = 530960699808. Its totient is φ = 84227899392.

The previous prime is 231201303211. The next prime is 231201303287. The reversal of 231201303220 is 22303102132.

It can be written as a sum of positive squares in 16 ways, for example, as 8392758544 + 222808544676 = 91612^2 + 472026^2 .

It is a super-2 number, since 2×2312013032202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1227582 + ... + 1403338.

It is an arithmetic number, because the mean of its divisors is an integer number (5530840623).

Almost surely, 2231201303220 is an apocalyptic number.

231201303220 is a gapful number since it is divisible by the number (20) 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 231201303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265480349904).

231201303220 is an abundant number, since it is smaller than the sum of its proper divisors (299759396588).

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

231201303220 is a wasteful number, since it uses less digits than its factorization.

231201303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175909 (or 175907 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 231201303220 its reverse (22303102132), we get a palindrome (253504405352).

The spelling of 231201303220 in words is "two hundred thirty-one billion, two hundred one million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 73 85 106 146 170 212 265 292 340 365 530 730 901 1060 1241 1460 1802 2482 3604 3869 4505 4964 6205 7738 9010 12410 15476 18020 19345 24820 38690 65773 77380 131546 175757 263092 328865 351514 657730 703028 878785 1315460 1757570 2987869 3515140 5975738 9315121 11951476 12830261 14939345 18630242 25660522 29878690 37260484 46575605 51321044 59757380 64151305 93151210 128302610 158357057 186302420 218114437 256605220 316714114 436228874 633428228 680003833 791785285 872457748 1090572185 1360007666 1583570570 2181144370 2720015332 3167141140 3400019165 4362288740 6800038330 11560065161 13600076660 23120130322 46240260644 57800325805 115600651610 231201303220