Search a number
-
+
221433122120 = 23577310833323
BaseRepresentation
bin1100111000111001110…
…0010100110101001000
3210011120001111002201012
43032032130110311020
512111443334401440
6245420332143052
721666214324340
oct3161634246510
9704501432635
10221433122120
1185a00252071
1236ab9607a88
1317b5b8a1662
14aa0885bd20
155b5ee28e65
hex338e714d48

221433122120 has 64 divisors (see below), whose sum is σ = 577199502720. Its totient is φ = 74879921664.

The previous prime is 221433122077. The next prime is 221433122167. The reversal of 221433122120 is 21221334122.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5396222 + ... + 5437101.

It is an arithmetic number, because the mean of its divisors is an integer number (9018742230).

Almost surely, 2221433122120 is an apocalyptic number.

221433122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221433122120 is an abundant number, since it is smaller than the sum of its proper divisors (355766380600).

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

221433122120 is a wasteful number, since it uses less digits than its factorization.

221433122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10833414 (or 10833410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 221433122120 its reverse (21221334122), we get a palindrome (242654456242).

The spelling of 221433122120 in words is "two hundred twenty-one billion, four hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2555 2920 4088 5110 10220 20440 10833323 21666646 43333292 54166615 75833261 86666584 108333230 151666522 216666460 303333044 379166305 433332920 606666088 758332610 790832579 1516665220 1581665158 3033330440 3163330316 3954162895 5535828053 6326660632 7908325790 11071656106 15816651580 22143312212 27679140265 31633303160 44286624424 55358280530 110716561060 221433122120