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122231040 = 2835139229
BaseRepresentation
bin1110100100100…
…01100100000000
322111222222110120
413102101210000
5222242343130
620043500240
73012642501
oct722214400
9274888416
10122231040
1162aa5a98
1234b27680
131c428579
141233aba8
15aae6910
hex7491900

122231040 has 144 divisors (see below), whose sum is σ = 394900800. Its totient is φ = 32219136.

The previous prime is 122231033. The next prime is 122231093. The reversal of 122231040 is 40132221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533646 + ... + 533874.

Almost surely, 2122231040 is an apocalyptic number.

122231040 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 122231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197450400).

122231040 is an abundant number, since it is smaller than the sum of its proper divisors (272669760).

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

122231040 is a wasteful number, since it uses less digits than its factorization.

122231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122231040 is about 11055.8147596638. The cubic root of 122231040 is about 496.2804518702.

Adding to 122231040 its reverse (40132221), we get a palindrome (162363261).

The spelling of 122231040 in words is "one hundred twenty-two million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 229 240 256 278 320 384 417 458 480 556 640 687 695 768 834 916 960 1112 1145 1280 1374 1390 1668 1832 1920 2085 2224 2290 2748 2780 3336 3435 3664 3840 4170 4448 4580 5496 5560 6672 6870 7328 8340 8896 9160 10992 11120 13344 13740 14656 16680 17792 18320 21984 22240 26688 27480 29312 31831 33360 35584 36640 43968 44480 53376 54960 58624 63662 66720 73280 87936 88960 95493 106752 109920 127324 133440 146560 159155 175872 177920 190986 219840 254648 266880 293120 318310 381972 439680 477465 509296 533760 636620 763944 879360 954930 1018592 1273240 1527888 1909860 2037184 2546480 3055776 3819720 4074368 5092960 6111552 7639440 8148736 10185920 12223104 15278880 20371840 24446208 30557760 40743680 61115520 122231040