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2125218150 = 2325211716047
BaseRepresentation
bin111111010101100…
…0100000101100110
312111002222021020100
41332223010011212
513323023440100
6550514444530
7103444025166
oct17653040546
95432867210
102125218150
119a06a2940
124b3893746
1327b3aa443
141623725a6
15c6899400
hex7eac4166

2125218150 has 144 divisors (see below), whose sum is σ = 6317595648. Its totient is φ = 507864000.

The previous prime is 2125218143. The next prime is 2125218157. The reversal of 2125218150 is 518125212.

It is a happy number.

2125218150 is a `hidden beast` number, since 2 + 12 + 521 + 81 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (2125218143) and next prime (2125218157).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125218157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348427 + ... + 354473.

It is an arithmetic number, because the mean of its divisors is an integer number (43872192).

Almost surely, 22125218150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125218150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158797824).

2125218150 is an abundant number, since it is smaller than the sum of its proper divisors (4192377498).

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

2125218150 is a wasteful number, since it uses less digits than its factorization.

2125218150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6147 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 2125218150 is about 46100.0883947092. The cubic root of 2125218150 is about 1285.6847879476.

The spelling of 2125218150 in words is "two billion, one hundred twenty-five million, two hundred eighteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 71 75 90 99 110 142 150 165 198 213 225 275 330 355 426 450 495 550 639 710 781 825 990 1065 1278 1562 1650 1775 2130 2343 2475 3195 3550 3905 4686 4950 5325 6047 6390 7029 7810 10650 11715 12094 14058 15975 18141 19525 23430 30235 31950 35145 36282 39050 54423 58575 60470 66517 70290 90705 108846 117150 133034 151175 175725 181410 199551 272115 302350 332585 351450 399102 429337 453525 544230 598653 665170 858674 907050 997755 1197306 1288011 1360575 1662925 1995510 2146685 2576022 2721150 2993265 3325850 3864033 4293370 4722707 4988775 5986530 6440055 7728066 9445414 9977550 10733425 12880110 14168121 14966325 19320165 21466850 23613535 28336242 29932650 32200275 38640330 42504363 47227070 64400550 70840605 85008726 96600825 118067675 141681210 193201650 212521815 236135350 354203025 425043630 708406050 1062609075 2125218150