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22991109210 = 2325372186601
BaseRepresentation
bin10101011010011000…
…000111110001011010
32012100021211100201100
4111122120013301122
5334041210443320
614321215132230
71442512126626
oct253230076132
965307740640
1022991109210
119828977703
124557814076
132225298444
141181656186
158e8655790
hex55a607c5a

22991109210 has 72 divisors (see below), whose sum is σ = 61436469276. Its totient is φ = 5965228800.

The previous prime is 22991109191. The next prime is 22991109217. The reversal of 22991109210 is 1290119922.

It can be written as a sum of positive squares in 6 ways, for example, as 21643411689 + 1347697521 = 147117^2 + 36711^2 .

It is a super-2 number, since 2×229911092102 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22991109217) 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 35 ways as a sum of consecutive naturals, for example, 29910 + ... + 216510.

Almost surely, 222991109210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22991109210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30718234638).

22991109210 is an abundant number, since it is smaller than the sum of its proper divisors (38445360066).

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

22991109210 is a wasteful number, since it uses less digits than its factorization.

22991109210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186688 (or 186648 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 22991109210 in words is "twenty-two billion, nine hundred ninety-one million, one hundred nine thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1369 1665 2738 3330 4107 6845 8214 12321 13690 20535 24642 41070 61605 123210 186601 373202 559803 933005 1119606 1679409 1866010 2799015 3358818 5598030 6904237 8397045 13808474 16794090 20712711 34521185 41425422 62138133 69042370 103563555 124276266 207127110 255456769 310690665 510913538 621381330 766370307 1277283845 1532740614 2299110921 2554567690 3831851535 4598221842 7663703070 11495554605 22991109210