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22279349040 = 2435137140817
BaseRepresentation
bin10100101111111100…
…111110001100110000
32010111200112012022120
4110233330332030300
5331112003132130
614122431434240
71416050225244
oct245774761460
963450465276
1022279349040
1194a3125763
124399385980
13214099c290
141114cda424
158a5e0d910
hex52ff3e330

22279349040 has 80 divisors (see below), whose sum is σ = 74378760288. Its totient is φ = 5484146688.

The previous prime is 22279349021. The next prime is 22279349047. The reversal of 22279349040 is 4094397222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×222793490402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 22279348983 and 22279349001.

It is not an unprimeable number, because it can be changed into a prime (22279349047) 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, 3567289 + ... + 3573528.

Almost surely, 222279349040 is an apocalyptic number.

22279349040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22279349040 is an abundant number, since it is smaller than the sum of its proper divisors (52099411248).

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

22279349040 is a wasteful number, since it uses less digits than its factorization.

22279349040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140846 (or 7140840 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 22279349040 in words is "twenty-two billion, two hundred seventy-nine million, three hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 7140817 14281634 21422451 28563268 35704085 42844902 57126536 71408170 85689804 92830621 107112255 114253072 142816340 171379608 185661242 214224510 278491863 285632680 342759216 371322484 428449020 464153105 556983726 571265360 742644968 856898040 928306210 1113967452 1392459315 1485289936 1713796080 1856612420 2227934904 2784918630 3713224840 4455869808 5569837260 7426449680 11139674520 22279349040