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140822000 = 24531137173
BaseRepresentation
bin10000110010011…
…00010111110000
3100210222111110122
420121030113300
5242022301000
621550145412
73326652524
oct1031142760
9323874418
10140822000
1172543720
123b1b2268
1323237537
14149b9d84
15c56a085
hex864c5f0

140822000 has 160 divisors (see below), whose sum is σ = 383707584. Its totient is φ = 49536000.

The previous prime is 140821973. The next prime is 140822009. The reversal of 140822000 is 228041.

It is a self number, because there is not a number n which added to its sum of digits gives 140822000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140822009) 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, 813914 + ... + 814086.

Almost surely, 2140822000 is an apocalyptic number.

140822000 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 140822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191853792).

140822000 is an abundant number, since it is smaller than the sum of its proper divisors (242885584).

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

140822000 is a wasteful number, since it uses less digits than its factorization.

140822000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 140822000 is about 11866.8445679549. The cubic root of 140822000 is about 520.2636729846.

The spelling of 140822000 in words is "one hundred forty million, eight hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 37 40 44 50 55 74 80 88 100 110 125 148 173 176 185 200 220 250 275 296 346 370 400 407 440 500 550 592 692 740 814 865 880 925 1000 1100 1375 1384 1480 1628 1730 1850 1903 2000 2035 2200 2750 2768 2960 3256 3460 3700 3806 4070 4325 4400 4625 5500 6401 6512 6920 7400 7612 8140 8650 9250 9515 10175 11000 12802 13840 14800 15224 16280 17300 18500 19030 20350 21625 22000 25604 30448 32005 32560 34600 37000 38060 40700 43250 47575 50875 51208 64010 69200 70411 74000 76120 81400 86500 95150 101750 102416 128020 140822 152240 160025 162800 173000 190300 203500 237875 256040 281644 320050 346000 352055 380600 407000 475750 512080 563288 640100 704110 761200 800125 814000 951500 1126576 1280200 1408220 1600250 1760275 1903000 2560400 2816440 3200500 3520550 3806000 5632880 6401000 7041100 8801375 12802000 14082200 17602750 28164400 35205500 70411000 140822000