Search a number
-
+
220322000124 = 223237527931333
BaseRepresentation
bin1100110100110000110…
…1101110110011111100
3210001200121201020212200
43031030031232303330
512102204413000444
6245114201031500
721626533046532
oct3151415566374
9701617636780
10220322000124
1185490030726
1236849485590
1317a12628515
14a941066152
155ae75e7969
hex334c36ecfc

220322000124 has 72 divisors (see below), whose sum is σ = 572103692160. Its totient is φ = 71439967872.

The previous prime is 220322000113. The next prime is 220322000153. The reversal of 220322000124 is 421000223022.

220322000124 is a `hidden beast` number, since 220 + 322 + 0 + 0 + 0 + 124 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 220322000097 and 220322000106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7015962 + ... + 7047294.

Almost surely, 2220322000124 is an apocalyptic number.

It is an amenable number.

220322000124 is an abundant number, since it is smaller than the sum of its proper divisors (351781692036).

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

220322000124 is a wasteful number, since it uses less digits than its factorization.

220322000124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36659 (or 36654 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220322000124 its reverse (421000223022), we get a palindrome (641322223146).

The spelling of 220322000124 in words is "two hundred twenty billion, three hundred twenty-two million, one hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 5279 10558 15837 21116 31333 31674 47511 62666 63348 93999 95022 125332 187998 190044 195323 281997 375996 390646 563994 585969 781292 1127988 1159321 1171938 1757907 2318642 2343876 3477963 3515814 4637284 6955926 7031628 10433889 13911852 20867778 41735556 165406907 330813814 496220721 661627628 992441442 1488662163 1984882884 2977324326 5954648652 6120055559 12240111118 18360166677 24480222236 36720333354 55080500031 73440666708 110161000062 220322000124