[go: up one dir, main page]

Search a number
-
+
122023188 = 223272337569
BaseRepresentation
bin1110100010111…
…10110100010100
322111121102100100
413101132310110
5222214220223
620035214100
73011115510
oct721366424
9274542310
10122023188
1162973911
1234a47330
131c384a91
14122c5140
15aaa5043
hex745ed14

122023188 has 144 divisors (see below), whose sum is σ = 378443520. Its totient is φ = 32389632.

The previous prime is 122023159. The next prime is 122023189. The reversal of 122023188 is 881320221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122023189) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214168 + ... + 214736.

It is an arithmetic number, because the mean of its divisors is an integer number (2628080).

Almost surely, 2122023188 is an apocalyptic number.

122023188 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 122023188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189221760).

122023188 is an abundant number, since it is smaller than the sum of its proper divisors (256420332).

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

122023188 is a wasteful number, since it uses less digits than its factorization.

122023188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 122023188 is about 11046.4106387550. The cubic root of 122023188 is about 495.9989865137.

The spelling of 122023188 in words is "one hundred twenty-two million, twenty-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 37 42 46 63 69 74 84 92 111 126 138 148 161 207 222 252 259 276 322 333 414 444 483 518 569 644 666 777 828 851 966 1036 1138 1332 1449 1554 1702 1707 1932 2276 2331 2553 2898 3108 3404 3414 3983 4662 5106 5121 5796 5957 6828 7659 7966 9324 10212 10242 11914 11949 13087 15318 15932 17871 20484 21053 23828 23898 26174 30636 35742 35847 39261 42106 47796 52348 53613 63159 71484 71694 78522 84212 91609 107226 117783 126318 143388 147371 157044 183218 189477 214452 235566 252636 274827 294742 366436 378954 442113 471132 484219 549654 589484 757908 824481 884226 968438 1099308 1326339 1452657 1648962 1768452 1936876 2652678 2905314 3297924 3389533 4357971 5305356 5810628 6779066 8715942 10168599 13558132 17431884 20337198 30505797 40674396 61011594 122023188