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122830488 = 233211223613
BaseRepresentation
bin1110101001000…
…11111010011000
322120010102202100
413110203322120
5222421033423
620104403400
73021020244
oct724437230
9276112670
10122830488
1163375400
1235176560
131c5a8381
1412455424
15abb4343
hex7523e98

122830488 has 144 divisors (see below), whose sum is σ = 382178160. Its totient is φ = 35544960.

The previous prime is 122830483. The next prime is 122830493. The reversal of 122830488 is 884038221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122830483) and next prime (122830493).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122830481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200070 + ... + 200682.

It is an arithmetic number, because the mean of its divisors is an integer number (2654015).

Almost surely, 2122830488 is an apocalyptic number.

122830488 is a gapful number since it is divisible by the number (18) 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 122830488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191089080).

122830488 is an abundant number, since it is smaller than the sum of its proper divisors (259347672).

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

122830488 is a wasteful number, since it uses less digits than its factorization.

122830488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 122830488 is about 11082.8916804235. The cubic root of 122830488 is about 497.0904188504.

The spelling of 122830488 in words is "one hundred twenty-two million, eight hundred thirty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 121 132 138 184 198 207 242 253 264 276 363 396 414 484 506 552 613 726 759 792 828 968 1012 1089 1226 1452 1518 1656 1839 2024 2178 2277 2452 2783 2904 3036 3678 4356 4554 4904 5517 5566 6072 6743 7356 8349 8712 9108 11034 11132 13486 14099 14712 16698 18216 20229 22068 22264 25047 26972 28198 33396 40458 42297 44136 50094 53944 56396 60687 66792 74173 80916 84594 100188 112792 121374 126891 148346 155089 161832 169188 200376 222519 242748 253782 296692 310178 338376 445038 465267 485496 507564 593384 620356 667557 890076 930534 1015128 1240712 1335114 1395801 1705979 1780152 1861068 2670228 2791602 3411958 3722136 5117937 5340456 5583204 6823916 10235874 11166408 13647832 15353811 20471748 30707622 40943496 61415244 122830488