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22009933488 = 2431934969151
BaseRepresentation
bin10100011111111001…
…001110111010110000
32002210220120110122210
4110133321032322300
5330034020332423
614040005132120
71406266230204
oct243771167260
962726513583
1022009933488
119375040884
1243230ba040
1320c9c1c4aa
1410cb208b04
1588c441b93
hex51fe4eeb0

22009933488 has 80 divisors (see below), whose sum is σ = 60023936000. Its totient is φ = 6930489600.

The previous prime is 22009933483. The next prime is 22009933489. The reversal of 22009933488 is 88433990022.

It is a super-2 number, since 2×220099334882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (22009933481) 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, 283713 + ... + 352863.

It is an arithmetic number, because the mean of its divisors is an integer number (750299200).

Almost surely, 222009933488 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 22009933488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30011968000).

22009933488 is an abundant number, since it is smaller than the sum of its proper divisors (38014002512).

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

22009933488 is a wasteful number, since it uses less digits than its factorization.

22009933488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69530 (or 69524 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 22009933488 in words is "twenty-two billion, nine million, nine hundred thirty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 349 456 698 912 1047 1396 2094 2792 4188 5584 6631 8376 13262 16752 19893 26524 39786 53048 69151 79572 106096 138302 159144 207453 276604 318288 414906 553208 829812 1106416 1313869 1659624 2627738 3319248 3941607 5255476 7883214 10510952 15766428 21021904 24133699 31532856 48267398 63065712 72401097 96534796 144802194 193069592 289604388 386139184 458540281 579208776 917080562 1158417552 1375620843 1834161124 2751241686 3668322248 5502483372 7336644496 11004966744 22009933488