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212379552 = 253271161157
BaseRepresentation
bin11001010100010…
…10011110100000
3112210121222222100
430222022132200
5413332121202
633024010400
75156124240
oct1452123640
9483558870
10212379552
11a99789a0
125b160a00
1334cccc98
14202c5b20
15139a241c
hexca8a7a0

212379552 has 288 divisors, whose sum is σ = 770200704. Its totient is φ = 53913600.

The previous prime is 212379551. The next prime is 212379553. The reversal of 212379552 is 255973212.

It is an interprime number because it is at equal distance from previous prime (212379551) and next prime (212379553).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (37800) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212379551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1352658 + ... + 1352814.

It is an arithmetic number, because the mean of its divisors is an integer number (2674308).

Almost surely, 2212379552 is an apocalyptic number.

212379552 is a gapful number since it is divisible by the number (22) 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 212379552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385100352).

212379552 is an abundant number, since it is smaller than the sum of its proper divisors (557821152).

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

212379552 is a wasteful number, since it uses less digits than its factorization.

212379552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 212379552 is about 14573.2478192063. The cubic root of 212379552 is about 596.6288274677.

The spelling of 212379552 in words is "two hundred twelve million, three hundred seventy-nine thousand, five hundred fifty-two".