Search a number
-
+
22907016528 = 24311331131071
BaseRepresentation
bin10101010101010111…
…010101010101010000
32012010102121000020120
4111111113111111100
5333403144012103
614305012510240
71440441266514
oct252527252520
965112530216
1022907016528
119795460620
12453361b380
132210a34266
141174406144
158e1094253
hex5555d5550

22907016528 has 80 divisors (see below), whose sum is σ = 64751665152. Its totient is φ = 6920496000.

The previous prime is 22907016511. The next prime is 22907016529. The reversal of 22907016528 is 82561070922.

It is a self number, because there is not a number n which added to its sum of digits gives 22907016528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22907016529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109233 + ... + 240303.

Almost surely, 222907016528 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 22907016528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32375832576).

22907016528 is an abundant number, since it is smaller than the sum of its proper divisors (41844648624).

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

22907016528 is a wasteful number, since it uses less digits than its factorization.

22907016528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131424 (or 131418 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 22907016528 in words is "twenty-two billion, nine hundred seven million, sixteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 331 528 662 993 1324 1986 2648 3641 3972 5296 7282 7944 10923 14564 15888 21846 29128 43692 58256 87384 131071 174768 262142 393213 524284 786426 1048568 1441781 1572852 2097136 2883562 3145704 4325343 5767124 6291408 8650686 11534248 17301372 23068496 34602744 43384501 69205488 86769002 130153503 173538004 260307006 347076008 477229511 520614012 694152016 954459022 1041228024 1431688533 1908918044 2082456048 2863377066 3817836088 5726754132 7635672176 11453508264 22907016528