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122330190 = 23547101859
BaseRepresentation
bin1110100101010…
…01110001001110
322112012000110210
413102221301032
5222304031230
620045543250
73013534533
oct722516116
9275160423
10122330190
1163063534
1234b74b26
131c461738
1412364d8a
15ab15eb0
hex74a9c4e

122330190 has 64 divisors (see below), whose sum is σ = 303160320. Its totient is φ = 31574400.

The previous prime is 122330179. The next prime is 122330191. The reversal of 122330190 is 91033221.

It is a happy number.

It is a super-2 number, since 2×1223301902 = 29929350770872200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141981 + ... + 142839.

It is an arithmetic number, because the mean of its divisors is an integer number (4736880).

Almost surely, 2122330190 is an apocalyptic number.

122330190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151580160).

122330190 is an abundant number, since it is smaller than the sum of its proper divisors (180830130).

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

122330190 is a wasteful number, since it uses less digits than its factorization.

122330190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 122330190 is about 11060.2979164216. The cubic root of 122330190 is about 496.4146046679.

It can be divided in two parts, 1223 and 30190, that added together give a palindrome (31413).

The spelling of 122330190 in words is "one hundred twenty-two million, three hundred thirty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 101 141 202 235 282 303 470 505 606 705 859 1010 1410 1515 1718 2577 3030 4295 4747 5154 8590 9494 12885 14241 23735 25770 28482 40373 47470 71205 80746 86759 121119 142410 173518 201865 242238 260277 403730 433795 520554 605595 867590 1211190 1301385 2602770 4077673 8155346 12233019 20388365 24466038 40776730 61165095 122330190