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214233332412 = 223111985419989
BaseRepresentation
bin1100011110000101001…
…1010011101010111100
3202110222021210212222010
43013201103103222330
512002222213114122
6242230055451220
721322621164651
oct3074123235274
9673867725863
10214233332412
1182946149540
123562a386b10
1317282086068
14a524575c28
15588cce7e0c
hex31e14d3abc

214233332412 has 48 divisors (see below), whose sum is σ = 574022332800. Its totient is φ = 61502391360.

The previous prime is 214233332387. The next prime is 214233332477.

It is a happy number.

214233332412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 214233332412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42707487 + ... + 42712502.

It is an arithmetic number, because the mean of its divisors is an integer number (11958798600).

Almost surely, 2214233332412 is an apocalyptic number.

214233332412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214233332412 is an abundant number, since it is smaller than the sum of its proper divisors (359789000388).

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

214233332412 is a wasteful number, since it uses less digits than its factorization.

214233332412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85420026 (or 85420024 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 214233 and 332412, that added together give a palindrome (546645).

The spelling of 214233332412 in words is "two hundred fourteen billion, two hundred thirty-three million, three hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 85419989 170839978 256259967 341679956 512519934 939619879 1025039868 1622979791 1879239758 2818859637 3245959582 3758479516 4868939373 5637719274 6491919164 9737878746 11275438548 17852777701 19475757492 35705555402 53558333103 71411110804 107116666206 214233332412