Search a number
-
+
22133540220 = 223511210329599
BaseRepresentation
bin10100100111010000…
…110000010101111100
32010010112011100012220
4110213100300111330
5330312141241340
614100142325340
71412326662531
oct244720602574
963115140186
1022133540220
119428896400
124358589850
132119709c7c
1410dd7c2d88
1589820aed0
hex52743057c

22133540220 has 144 divisors (see below), whose sum is σ = 68783769600. Its totient is φ = 5313432960.

The previous prime is 22133540183. The next prime is 22133540279. The reversal of 22133540220 is 2204533122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732981 + ... + 762579.

Almost surely, 222133540220 is an apocalyptic number.

22133540220 is a gapful number since it is divisible by the number (20) 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 22133540220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34391884800).

22133540220 is an abundant number, since it is smaller than the sum of its proper divisors (46650229380).

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

22133540220 is a wasteful number, since it uses less digits than its factorization.

22133540220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29736 (or 29723 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 22133540220 in words is "twenty-two billion, one hundred thirty-three million, five hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 121 132 165 206 220 242 309 330 363 412 484 515 605 618 660 726 1030 1133 1210 1236 1452 1545 1815 2060 2266 2420 3090 3399 3630 4532 5665 6180 6798 7260 11330 12463 13596 16995 22660 24926 29599 33990 37389 49852 59198 62315 67980 74778 88797 118396 124630 147995 149556 177594 186945 249260 295990 325589 355188 373890 443985 591980 651178 747780 887970 976767 1302356 1627945 1775940 1953534 3048697 3255890 3581479 3907068 4883835 6097394 6511780 7162958 9146091 9767670 10744437 12194788 14325916 15243485 17907395 18292182 19535340 21488874 30486970 33535667 35814790 36584364 42977748 45730455 53722185 60973940 67071334 71629580 91460910 100607001 107444370 134142668 167678335 182921820 201214002 214888740 335356670 368892337 402428004 503035005 670713340 737784674 1006070010 1106677011 1475569348 1844461685 2012140020 2213354022 3688923370 4426708044 5533385055 7377846740 11066770110 22133540220