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2226117840 = 24358921171
BaseRepresentation
bin1000010010101111…
…1101110011010000
312202010211111120220
42010223331303100
514024341232330
61004521233040
7106110455322
oct20453756320
95663744526
102226117840
11a42649311
12521632780
132962775bb
14171919612
15d067a710
hex84afdcd0

2226117840 has 120 divisors (see below), whose sum is σ = 6985335648. Its totient is φ = 586460160.

The previous prime is 2226117827. The next prime is 2226117841. The reversal of 2226117840 is 487116222.

2226117840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226117841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900455 + ... + 1901625.

Almost surely, 22226117840 is an apocalyptic number.

2226117840 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 2226117840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492667824).

2226117840 is an abundant number, since it is smaller than the sum of its proper divisors (4759217808).

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

2226117840 is a wasteful number, since it uses less digits than its factorization.

2226117840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2226117840 is about 47181.7532527141. The cubic root of 2226117840 is about 1305.7179766366.

The spelling of 2226117840 in words is "two billion, two hundred twenty-six million, one hundred seventeen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1171 1335 1424 1780 2136 2342 2670 3513 3560 4272 4684 5340 5855 7026 7120 7921 9368 10680 11710 14052 15842 17565 18736 21360 23420 23763 28104 31684 35130 39605 46840 47526 56208 63368 70260 79210 93680 95052 104219 118815 126736 140520 158420 190104 208438 237630 281040 312657 316840 380208 416876 475260 521095 625314 633680 833752 950520 1042190 1250628 1563285 1667504 1901040 2084380 2501256 3126570 4168760 5002512 6253140 8337520 9275491 12506280 18550982 25012560 27826473 37101964 46377455 55652946 74203928 92754910 111305892 139132365 148407856 185509820 222611784 278264730 371019640 445223568 556529460 742039280 1113058920 2226117840