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122023320 = 233519109491
BaseRepresentation
bin1110100010111…
…10110110011000
322111121102112020
413101132312120
5222214221240
620035214440
73011116056
oct721366630
9274542466
10122023320
1162973a21
1234a47420
131c384b63
14122c51d6
15aaa50d0
hex745ed98

122023320 has 128 divisors (see below), whose sum is σ = 389664000. Its totient is φ = 30481920.

The previous prime is 122023309. The next prime is 122023351. The reversal of 122023320 is 23320221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122023320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248275 + ... + 248765.

It is an arithmetic number, because the mean of its divisors is an integer number (3044250).

Almost surely, 2122023320 is an apocalyptic number.

122023320 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 122023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194832000).

122023320 is an abundant number, since it is smaller than the sum of its proper divisors (267640680).

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

122023320 is a wasteful number, since it uses less digits than its factorization.

122023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

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

The square root of 122023320 is about 11046.4166135449. The cubic root of 122023320 is about 495.9991653645. Note that the first 3 decimals are identical.

Adding to 122023320 its reverse (23320221), we get a palindrome (145343541).

The spelling of 122023320 in words is "one hundred twenty-two million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 109 114 120 152 190 218 228 285 327 380 436 456 491 545 570 654 760 872 982 1090 1140 1308 1473 1635 1964 2071 2180 2280 2455 2616 2946 3270 3928 4142 4360 4910 5892 6213 6540 7365 8284 9329 9820 10355 11784 12426 13080 14730 16568 18658 19640 20710 24852 27987 29460 31065 37316 41420 46645 49704 53519 55974 58920 62130 74632 82840 93290 107038 111948 124260 139935 160557 186580 214076 223896 248520 267595 279870 321114 373160 428152 535190 559740 642228 802785 1016861 1070380 1119480 1284456 1605570 2033722 2140760 3050583 3211140 4067444 5084305 6101166 6422280 8134888 10168610 12202332 15252915 20337220 24404664 30505830 40674440 61011660 122023320