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2150132000 = 25532323371
BaseRepresentation
bin1000000000101000…
…0110100100100000
312112211212000121112
42000022012210200
513400413211000
6553204442452
7104165551262
oct20012064440
95484760545
102150132000
11a03769aa5
125000a9428
132835c1373
141657b9b32
15c8b6b235
hex80286920

2150132000 has 96 divisors (see below), whose sum is σ = 5512800384. Its totient is φ = 822624000.

The previous prime is 2150131993. The next prime is 2150132003. The reversal of 2150132000 is 2310512.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2150132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80315 + ... + 103685.

It is an arithmetic number, because the mean of its divisors is an integer number (57425004).

Almost surely, 22150132000 is an apocalyptic number.

2150132000 is a gapful number since it is divisible by the number (20) 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 2150132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756400192).

2150132000 is an abundant number, since it is smaller than the sum of its proper divisors (3362668384).

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

2150132000 is a wasteful number, since it uses less digits than its factorization.

2150132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23419 (or 23401 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2150132000 is about 46369.5158482381. The cubic root of 2150132000 is about 1290.6892936994.

Adding to 2150132000 its reverse (2310512), we get a palindrome (2152442512).

The spelling of 2150132000 in words is "two billion, one hundred fifty million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 23371 46000 46742 92000 93484 116855 186968 233710 373936 467420 537533 584275 747872 934840 1075066 1168550 1869680 2150132 2337100 2687665 2921375 3739360 4300264 4674200 5375330 5842750 8600528 9348400 10750660 11685500 13438325 17201056 18696800 21501320 23371000 26876650 43002640 46742000 53753300 67191625 86005280 93484000 107506600 134383250 215013200 268766500 430026400 537533000 1075066000 2150132000