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214223400244 = 22753307470213
BaseRepresentation
bin1100011110000010110…
…1011010110100110100
3202110221121010021121001
43013200231122310310
512002212142301434
6242225102533044
721322440600130
oct3074055326464
9673847107531
10214223400244
1182940585337
1235626b97184
131727ccb9339
14a52310c3c0
15588bed5114
hex31e0b5ad34

214223400244 has 48 divisors (see below), whose sum is σ = 437953557888. Its totient is φ = 89784160128.

The previous prime is 214223400197. The next prime is 214223400299. The reversal of 214223400244 is 442004322412.

214223400244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220482 + ... + 690694.

It is an arithmetic number, because the mean of its divisors is an integer number (9124032456).

Almost surely, 2214223400244 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 214223400244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218976778944).

214223400244 is an abundant number, since it is smaller than the sum of its proper divisors (223730157644).

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

214223400244 is a wasteful number, since it uses less digits than its factorization.

214223400244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470584 (or 470582 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 214223400244 its reverse (442004322412), we get a palindrome (656227722656).

The spelling of 214223400244 in words is "two hundred fourteen billion, two hundred twenty-three million, four hundred thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 53 106 212 307 371 614 742 1228 1484 2149 4298 8596 16271 32542 65084 113897 227794 455588 470213 940426 1880852 3291491 6582982 13165964 24921289 49842578 99685156 144355391 174449023 288710782 348898046 577421564 697796092 1010487737 2020975474 4041950948 7650835723 15301671446 30603342892 53555850061 107111700122 214223400244