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122383332 = 22331924373
BaseRepresentation
bin1110100101101…
…10101111100100
322112021201101000
413102312233210
5222312231312
620051033300
73014145501
oct722665744
9275251330
10122383332
116309a455
1234b9b830
131c47c996
141237a4a8
15ab26adc
hex74b6be4

122383332 has 144 divisors (see below), whose sum is σ = 347350080. Its totient is φ = 37231488.

The previous prime is 122383297. The next prime is 122383343. The reversal of 122383332 is 233383221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122383296 and 122383305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676448 + ... + 1676520.

Almost surely, 2122383332 is an apocalyptic number.

122383332 is a gapful number since it is divisible by the number (12) 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 122383332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173675040).

122383332 is an abundant number, since it is smaller than the sum of its proper divisors (224966748).

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

122383332 is a wasteful number, since it uses less digits than its factorization.

122383332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 122383332 is about 11062.7000320898. The cubic root of 122383332 is about 496.4864774842.

The spelling of 122383332 in words is "one hundred twenty-two million, three hundred eighty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 43 54 57 73 76 86 108 114 129 146 171 172 219 228 258 292 342 361 387 438 513 516 657 684 722 774 817 876 1026 1083 1161 1314 1387 1444 1548 1634 1971 2052 2166 2322 2451 2628 2774 3139 3249 3268 3942 4161 4332 4644 4902 5548 6278 6498 7353 7884 8322 9417 9747 9804 12483 12556 12996 14706 15523 16644 18834 19494 22059 24966 26353 28251 29412 31046 37449 37668 38988 44118 46569 49932 52706 56502 59641 62092 74898 79059 84753 88236 93138 105412 113004 119282 139707 149796 158118 169506 178923 186276 237177 238564 279414 316236 339012 357846 419121 474354 536769 558828 711531 715692 838242 948708 1073538 1133179 1423062 1610307 1676484 2147076 2266358 2846124 3220614 3399537 4532716 6441228 6799074 10198611 13598148 20397222 30595833 40794444 61191666 122383332