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214012988 = 227210310601
BaseRepresentation
bin11001100000110…
…01010000111100
3112220200222121222
430300121100330
5414241403423
633123012512
75206036400
oct1460312074
9486628558
10214012988
11aa894142
125b80a138
1335452607
14205cd100
1513bc63c8
hexcc1943c

214012988 has 36 divisors (see below), whose sum is σ = 439940592. Its totient is φ = 90820800.

The previous prime is 214012987. The next prime is 214012991. The reversal of 214012988 is 889210412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214012987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14888 + ... + 25488.

It is an arithmetic number, because the mean of its divisors is an integer number (12220572).

Almost surely, 2214012988 is an apocalyptic number.

214012988 is a gapful number since it is divisible by the number (28) 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 214012988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219970296).

214012988 is an abundant number, since it is smaller than the sum of its proper divisors (225927604).

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

214012988 is a wasteful number, since it uses less digits than its factorization.

214012988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10722 (or 10713 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 214012988 is about 14629.1827522934. The cubic root of 214012988 is about 598.1545034649.

It can be divided in two parts, 21401 and 2988, that added together give a cube (24389 = 293).

The spelling of 214012988 in words is "two hundred fourteen million, twelve thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 98 103 196 206 412 721 1442 2884 5047 10094 10601 20188 21202 42404 74207 148414 296828 519449 1038898 1091903 2077796 2183806 4367612 7643321 15286642 30573284 53503247 107006494 214012988