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4122211320 = 2332516370249
BaseRepresentation
bin1111010110110011…
…1111001111111000
3101122021200000212100
43311230333033320
531420241230240
61521013143400
7204103134543
oct36554771770
911567600770
104122211320
111825976417
1297062ab60
13509040cc6
142b168785a
15191d65e30
hexf5b3f3f8

4122211320 has 96 divisors (see below), whose sum is σ = 13479570000. Its totient is φ = 1092496896.

The previous prime is 4122211319. The next prime is 4122211337. The reversal of 4122211320 is 231122214.

It is a happy number.

4122211320 is a `hidden beast` number, since 412 + 221 + 1 + 32 + 0 = 666.

It is a super-2 number, since 2×41222113202 = 33985252333472284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4122211293 and 4122211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23556 + ... + 93804.

Almost surely, 24122211320 is an apocalyptic number.

4122211320 is a gapful number since it is divisible by the number (40) 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 4122211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739785000).

4122211320 is an abundant number, since it is smaller than the sum of its proper divisors (9357358680).

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

4122211320 is a wasteful number, since it uses less digits than its factorization.

4122211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70429 (or 70422 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4122211320 is about 64204.4493785283. The cubic root of 4122211320 is about 1603.4056779966.

Adding to 4122211320 its reverse (231122214), we get a palindrome (4353333534).

The spelling of 4122211320 in words is "four billion, one hundred twenty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 489 652 815 978 1304 1467 1630 1956 2445 2934 3260 3912 4890 5868 6520 7335 9780 11736 14670 19560 29340 58680 70249 140498 210747 280996 351245 421494 561992 632241 702490 842988 1053735 1264482 1404980 1685976 2107470 2528964 2809960 3161205 4214940 5057928 6322410 8429880 11450587 12644820 22901174 25289640 34351761 45802348 57252935 68703522 91604696 103055283 114505870 137407044 171758805 206110566 229011740 274814088 343517610 412221132 458023480 515276415 687035220 824442264 1030552830 1374070440 2061105660 4122211320