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122293530 = 23352347419
BaseRepresentation
bin1110100101000…
…00110100011010
322112010011012000
413102200310122
5222301343110
620045101430
73013322622
oct722406432
9275104160
10122293530
1163038a37
1234b57876
131c44ab48
1412355882
15ab0a1c0
hex74a0d1a

122293530 has 128 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 30457152.

The previous prime is 122293513. The next prime is 122293571. The reversal of 122293530 is 35392221.

122293530 is a `hidden beast` number, since 122 + 2 + 9 + 3 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122293494 and 122293503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291661 + ... + 292079.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2122293530 is an apocalyptic number.

122293530 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 122293530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

122293530 is an abundant number, since it is smaller than the sum of its proper divisors (226071270).

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

122293530 is a wasteful number, since it uses less digits than its factorization.

122293530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 122293530 is about 11058.6405131915. The cubic root of 122293530 is about 496.3650110840.

The spelling of 122293530 in words is "one hundred twenty-two million, two hundred ninety-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 47 54 69 90 94 115 135 138 141 207 230 235 270 282 345 414 419 423 470 621 690 705 838 846 1035 1081 1242 1257 1269 1410 2070 2095 2115 2162 2514 2538 3105 3243 3771 4190 4230 5405 6210 6285 6345 6486 7542 9637 9729 10810 11313 12570 12690 16215 18855 19274 19458 19693 22626 28911 29187 32430 37710 39386 48185 48645 56565 57822 58374 59079 86733 96370 97290 98465 113130 118158 144555 145935 173466 177237 196930 260199 289110 291870 295395 354474 433665 452939 520398 531711 590790 867330 886185 905878 1063422 1300995 1358817 1772370 2264695 2601990 2658555 2717634 4076451 4529390 5317110 6794085 8152902 12229353 13588170 20382255 24458706 40764510 61146765 122293530