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10222445440 = 275171735431
BaseRepresentation
bin10011000010100111…
…00010001110000000
3222101102100000220101
421201103202032000
5131413421223230
64410210252144
7511215231634
oct114123421600
928342300811
1010222445440
114376338619
121b93587054
13c6bb02cac
146cd908dc4
153ec69caca
hex2614e2380

10222445440 has 128 divisors (see below), whose sum is σ = 26029926720. Its totient is φ = 3825500160.

The previous prime is 10222445399. The next prime is 10222445449. The reversal of 10222445440 is 4454422201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10222445399 and 10222445408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222445449) 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, 1879525 + ... + 1884955.

Almost surely, 210222445440 is an apocalyptic number.

10222445440 is a gapful number since it is divisible by the number (10) 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 10222445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13014963360).

10222445440 is an abundant number, since it is smaller than the sum of its proper divisors (15807481280).

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

10222445440 is a wasteful number, since it uses less digits than its factorization.

10222445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 10222445440 its reverse (4454422201), we get a palindrome (14676867641).

The spelling of 10222445440 in words is "ten billion, two hundred twenty-two million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 173 272 320 340 346 544 640 680 692 865 1088 1360 1384 1730 2176 2720 2768 2941 3460 5431 5440 5536 5882 6920 10862 10880 11072 11764 13840 14705 21724 22144 23528 27155 27680 29410 43448 47056 54310 55360 58820 86896 92327 94112 108620 110720 117640 173792 184654 188224 217240 235280 347584 369308 376448 434480 461635 470560 695168 738616 868960 923270 939563 941120 1477232 1737920 1846540 1879126 1882240 2954464 3475840 3693080 3758252 4697815 5908928 7386160 7516504 9395630 11817856 14772320 15033008 15972571 18791260 29544640 30066016 31945142 37582520 59089280 60132032 63890284 75165040 79862855 120264064 127780568 150330080 159725710 255561136 300660160 319451420 511122272 601320320 638902840 1022244544 1277805680 2044489088 2555611360 5111222720 10222445440