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472133220 = 2235131075657
BaseRepresentation
bin11100001001000…
…010111001100100
31012220101212000120
4130021002321210
51431331230340
6114503241540
714462031456
oct3411027144
91186355016
10472133220
11222563749
121121492b0
1376a79090
14469c02d6
152b6b14d0
hex1c242e64

472133220 has 96 divisors (see below), whose sum is σ = 1437222528. Its totient is φ = 115110912.

The previous prime is 472133203. The next prime is 472133227. The reversal of 472133220 is 22331274.

It is not an unprimeable number, because it can be changed into a prime (472133227) 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, 80632 + ... + 86288.

It is an arithmetic number, because the mean of its divisors is an integer number (14971068).

Almost surely, 2472133220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718611264).

472133220 is an abundant number, since it is smaller than the sum of its proper divisors (965089308).

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

472133220 is a wasteful number, since it uses less digits than its factorization.

472133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 472133220 is about 21728.6267398563. The cubic root of 472133220 is about 778.6725284002.

Adding to 472133220 its reverse (22331274), we get a palindrome (494464494).

The spelling of 472133220 in words is "four hundred seventy-two million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 107 130 156 195 214 260 321 390 428 535 642 780 1070 1284 1391 1605 2140 2782 3210 4173 5564 5657 6420 6955 8346 11314 13910 16692 16971 20865 22628 27820 28285 33942 41730 56570 67884 73541 83460 84855 113140 147082 169710 220623 294164 339420 367705 441246 605299 735410 882492 1103115 1210598 1470820 1815897 2206230 2421196 3026495 3631794 4412460 6052990 7263588 7868887 9079485 12105980 15737774 18158970 23606661 31475548 36317940 39344435 47213322 78688870 94426644 118033305 157377740 236066610 472133220