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22133011032 = 233211151185071
BaseRepresentation
bin10100100111001110…
…101111001001011000
32010010111011110022100
4110213032233021120
5330312022323112
614100123123400
71412322326646
oct244716571130
963114143270
1022133011032
119428564860
124358373560
132119583142
1410dd6c6196
158981542dc
hex5273af258

22133011032 has 96 divisors (see below), whose sum is σ = 65826408960. Its totient is φ = 6662520000.

The previous prime is 22133011031. The next prime is 22133011051. The reversal of 22133011032 is 23011033122.

22133011032 is a `hidden beast` number, since 221 + 330 + 110 + 3 + 2 = 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 = 22133010996 and 22133011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133011031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27057 + ... + 212127.

It is an arithmetic number, because the mean of its divisors is an integer number (685691760).

Almost surely, 222133011032 is an apocalyptic number.

22133011032 is a gapful number since it is divisible by the number (22) 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 22133011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32913204480).

22133011032 is an abundant number, since it is smaller than the sum of its proper divisors (43693397928).

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

22133011032 is a wasteful number, since it uses less digits than its factorization.

22133011032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185245 (or 185238 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22133011032 its reverse (23011033122), we get a palindrome (45144044154).

The spelling of 22133011032 in words is "twenty-two billion, one hundred thirty-three million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 151 198 264 302 396 453 604 792 906 1208 1359 1661 1812 2718 3322 3624 4983 5436 6644 9966 10872 13288 14949 19932 29898 39864 59796 119592 185071 370142 555213 740284 1110426 1480568 1665639 2035781 2220852 3331278 4071562 4441704 6107343 6662556 8143124 12214686 13325112 16286248 18322029 24429372 27945721 36644058 48858744 55891442 73288116 83837163 111782884 146576232 167674326 223565768 251511489 307402931 335348652 503022978 614805862 670697304 922208793 1006045956 1229611724 1844417586 2012091912 2459223448 2766626379 3688835172 5533252758 7377670344 11066505516 22133011032