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22000000032 = 2533178714249
BaseRepresentation
bin10100011111010011…
…010101110000100000
32002210012212210112000
4110133103111300200
5330024000000112
614035012204000
71406115625533
oct243723256040
962705783460
1022000000032
11936a47670a
12431b909600
1320c7b51cca
1410c9b80a1a
1588b62d7dc
hex51f4d5c20

22000000032 has 96 divisors (see below), whose sum is σ = 64207080000. Its totient is φ = 7328715264.

The previous prime is 22000000031. The next prime is 22000000037. The reversal of 22000000032 is 23000000022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21999999960 and 22000000023.

It is not an unprimeable number, because it can be changed into a prime (22000000031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1536844 + ... + 1551092.

It is an arithmetic number, because the mean of its divisors is an integer number (668823750).

Almost surely, 222000000032 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 22000000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32103540000).

22000000032 is an abundant number, since it is smaller than the sum of its proper divisors (42207079968).

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

22000000032 is a wasteful number, since it uses less digits than its factorization.

22000000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16055 (or 16041 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 22000000032 its reverse (23000000022), we get a palindrome (45000000054).

The spelling of 22000000032 in words is "twenty-two billion, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1787 3574 5361 7148 10722 14249 14296 16083 21444 28498 28592 32166 42747 42888 48249 56996 57184 64332 85494 85776 96498 113992 128241 128664 170988 171552 192996 227984 256482 257328 341976 384723 385992 455968 512964 514656 683952 769446 771984 1025928 1367904 1538892 1543968 2051856 3077784 4103712 6155568 12311136 25462963 50925926 76388889 101851852 152777778 203703704 229166667 305555556 407407408 458333334 611111112 687500001 814814816 916666668 1222222224 1375000002 1833333336 2444444448 2750000004 3666666672 5500000008 7333333344 11000000016 22000000032