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214119152 = 24135319423
BaseRepresentation
bin11001100001100…
…11001011110000
3112220220101020222
430300303023300
5414303303102
633125152212
75206661042
oct1460631360
9486811228
10214119152
11aa956985
125b85b668
133548ba30
1420619a92
1513be7aa2
hexcc332f0

214119152 has 40 divisors (see below), whose sum is σ = 455220864. Its totient is φ = 96954624.

The previous prime is 214119133. The next prime is 214119161. The reversal of 214119152 is 251911412.

It is a super-2 number, since 2×2141191522 = 91694022506398208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1313 + ... + 20735.

Almost surely, 2214119152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214119152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227610432).

214119152 is an abundant number, since it is smaller than the sum of its proper divisors (241101712).

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

214119152 is a wasteful number, since it uses less digits than its factorization.

214119152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19497 (or 19491 counting only the distinct ones).

The product of its digits is 720, while the sum is 26.

The square root of 214119152 is about 14632.8108031232. The cubic root of 214119152 is about 598.2533946237.

The spelling of 214119152 in words is "two hundred fourteen million, one hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 5512 11024 19423 38846 77692 155384 252499 310768 504998 1009996 1029419 2019992 2058838 4039984 4117676 8235352 13382447 16470704 26764894 53529788 107059576 214119152