Search a number
-
+
1215214000 = 245371113607
BaseRepresentation
bin100100001101110…
…1011000110110000
310010200122021012221
41020123223012300
54442043322000
6320330130424
742054101650
oct11033530660
93120567187
101215214000
11573a582a0
1229ab80a14
131649c0350
14b7570360
1571a4361a
hex486eb1b0

1215214000 has 320 divisors, whose sum is σ = 3951747072. Its totient is φ = 349056000.

The previous prime is 1215213983. The next prime is 1215214037. The reversal of 1215214000 is 4125121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2001697 + ... + 2002303.

Almost surely, 21215214000 is an apocalyptic number.

1215214000 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 1215214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975873536).

1215214000 is an abundant number, since it is smaller than the sum of its proper divisors (2736533072).

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

1215214000 is a wasteful number, since it uses less digits than its factorization.

1215214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1215214000 is about 34859.9196786223. The cubic root of 1215214000 is about 1067.1306358312.

Adding to 1215214000 its reverse (4125121), we get a palindrome (1219339121).

It can be divided in two parts, 121521 and 4000, that added together give a palindrome (125521).

The spelling of 1215214000 in words is "one billion, two hundred fifteen million, two hundred fourteen thousand".