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122300340 = 223519711511
BaseRepresentation
bin1110100101000…
…10011110110100
322112010111112020
413102202132310
5222302102330
620045153140
73013351521
oct722423664
9275114466
10122300340
1163043068
1234b5b7b0
131c450c86
1412358148
15ab0c210
hex74a27b4

122300340 has 96 divisors (see below), whose sum is σ = 365783040. Its totient is φ = 30441600.

The previous prime is 122300327. The next prime is 122300341. The reversal of 122300340 is 43003221.

122300340 = T195 + T196 + ... + T904.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300341) 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, 80185 + ... + 81695.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2122300340 is an apocalyptic number.

122300340 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 122300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

122300340 is an abundant number, since it is smaller than the sum of its proper divisors (243482700).

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

122300340 is a wasteful number, since it uses less digits than its factorization.

122300340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 122300340 is about 11058.9484129369. The cubic root of 122300340 is about 496.3742243896.

Adding to 122300340 its reverse (43003221), we get a palindrome (165303561).

The spelling of 122300340 in words is "one hundred twenty-two million, three hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 71 76 95 114 142 190 213 228 284 285 355 380 426 570 710 852 1065 1140 1349 1420 1511 2130 2698 3022 4047 4260 4533 5396 6044 6745 7555 8094 9066 13490 15110 16188 18132 20235 22665 26980 28709 30220 40470 45330 57418 80940 86127 90660 107281 114836 143545 172254 214562 287090 321843 344508 429124 430635 536405 574180 643686 861270 1072810 1287372 1609215 1722540 2038339 2145620 3218430 4076678 6115017 6436860 8153356 10191695 12230034 20383390 24460068 30575085 40766780 61150170 122300340