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2150400150 = 234522232381
BaseRepresentation
bin1000000000101100…
…1000000010010110
312112212100122110000
42000023020002112
513401000301100
6553214312130
7104201046123
oct20013100226
95485318400
102150400150
11a03932508
125001b8646
13283686432
1416584974a
15c8bc0900
hex802c8096

2150400150 has 120 divisors (see below), whose sum is σ = 6004240704. Its totient is φ = 570628800.

The previous prime is 2150400137. The next prime is 2150400181. The reversal of 2150400150 is 510040512.

2150400150 is a `hidden beast` number, since 215 + 0 + 400 + 1 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 901960 + ... + 904340.

Almost surely, 22150400150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2150400150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002120352).

2150400150 is an abundant number, since it is smaller than the sum of its proper divisors (3853840554).

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

2150400150 is a wasteful number, since it uses less digits than its factorization.

2150400150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2150400150 is about 46372.4072051473. The cubic root of 2150400150 is about 1290.7429468313.

Adding to 2150400150 its reverse (510040512), we get a palindrome (2660440662).

The spelling of 2150400150 in words is "two billion, one hundred fifty million, four hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 223 225 270 405 446 450 669 675 810 1115 1338 1350 2007 2025 2230 2381 3345 4014 4050 4762 5575 6021 6690 7143 10035 11150 11905 12042 14286 16725 18063 20070 21429 23810 30105 33450 35715 36126 42858 50175 59525 60210 64287 71430 90315 100350 107145 119050 128574 150525 178575 180630 192861 214290 301050 321435 357150 385722 451575 530963 535725 642870 903150 964305 1061926 1071450 1592889 1607175 1928610 2654815 3185778 3214350 4778667 4821525 5309630 7964445 9557334 9643050 13274075 14336001 15928890 23893335 26548150 28672002 39822225 43008003 47786670 71680005 79644450 86016006 119466675 143360010 215040015 238933350 358400025 430080030 716800050 1075200075 2150400150