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23020003332 = 22385914867
BaseRepresentation
bin10101011100000110…
…010110000000000100
32012102022012100000000
4111130012112000010
5334121110101312
614324130321300
71443312541224
oct253406260004
965368170000
1023020003332
119843212247
124565429230
13222b273c61
141185418084
158eae61adc
hex55c196004

23020003332 has 108 divisors (see below), whose sum is σ = 61452714960. Its totient is φ = 7542770544.

The previous prime is 23020003327. The next prime is 23020003333. The reversal of 23020003332 is 23330002032.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×230200033322 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23020003333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1540963 + ... + 1555829.

It is an arithmetic number, because the mean of its divisors is an integer number (569006620).

Almost surely, 223020003332 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 23020003332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30726357480).

23020003332 is an abundant number, since it is smaller than the sum of its proper divisors (38432711628).

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

23020003332 is an equidigital number, since it uses as much as digits as its factorization.

23020003332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14954 (or 14931 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23020003332 its reverse (23330002032), we get a palindrome (46350005364).

The spelling of 23020003332 in words is "twenty-three billion, twenty million, three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 729 972 1062 1458 1593 2124 2187 2916 3186 4374 4779 6372 6561 8748 9558 13122 14337 14867 19116 26244 28674 29734 43011 44601 57348 59468 86022 89202 129033 133803 172044 178404 258066 267606 387099 401409 516132 535212 774198 802818 877153 1204227 1548396 1605636 1754306 2408454 2631459 3508612 3612681 4816908 5262918 7225362 7894377 10525836 10838043 14450724 15788754 21676086 23683131 31577508 32514129 43352172 47366262 65028258 71049393 94732524 97542387 130056516 142098786 195084774 213148179 284197572 390169548 426296358 639444537 852592716 1278889074 1918333611 2557778148 3836667222 5755000833 7673334444 11510001666 23020003332