Search a number
-
+
122331480 = 233523127349
BaseRepresentation
bin1110100101010…
…10000101011000
322112012002020120
413102222011120
5222304101410
620045553240
73013541355
oct722520530
9275162216
10122331480
11630644a7
1234b75820
131c4621bb
141236562c
15ab16570
hex74aa158

122331480 has 128 divisors (see below), whose sum is σ = 387072000. Its totient is φ = 30868992.

The previous prime is 122331467. The next prime is 122331497. The reversal of 122331480 is 84133221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122331480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350346 + ... + 350694.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2122331480 is an apocalyptic number.

122331480 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 122331480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

122331480 is an abundant number, since it is smaller than the sum of its proper divisors (264740520).

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

122331480 is a wasteful number, since it uses less digits than its factorization.

122331480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 122331480 is about 11060.3562329610. The cubic root of 122331480 is about 496.4163495972.

The spelling of 122331480 in words is "one hundred twenty-two million, three hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 127 138 184 230 254 276 345 349 381 460 508 552 635 690 698 762 920 1016 1047 1270 1380 1396 1524 1745 1905 2094 2540 2760 2792 2921 3048 3490 3810 4188 5080 5235 5842 6980 7620 8027 8376 8763 10470 11684 13960 14605 15240 16054 17526 20940 23368 24081 29210 32108 35052 40135 41880 43815 44323 48162 58420 64216 70104 80270 87630 88646 96324 116840 120405 132969 160540 175260 177292 192648 221615 240810 265938 321080 350520 354584 443230 481620 531876 664845 886460 963240 1019429 1063752 1329690 1772920 2038858 2659380 3058287 4077716 5097145 5318760 6116574 8155432 10194290 12233148 15291435 20388580 24466296 30582870 40777160 61165740 122331480