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1022144214 = 237213318627
BaseRepresentation
bin111100111011001…
…010111011010110
32122020100022021010
4330323022323112
54043132103324
6245232033050
734221040200
oct7473127326
92566308233
101022144214
11484a79093
12246392786
131339c1580
1499a73770
155eb07829
hex3cecaed6

1022144214 has 96 divisors (see below), whose sum is σ = 2643895296. Its totient is φ = 260850240.

The previous prime is 1022144213. The next prime is 1022144231. The reversal of 1022144214 is 4124412201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022144213) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 114169 + ... + 122795.

It is an arithmetic number, because the mean of its divisors is an integer number (27540576).

Almost surely, 21022144214 is an apocalyptic number.

1022144214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022144214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321947648).

1022144214 is an abundant number, since it is smaller than the sum of its proper divisors (1621751082).

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

1022144214 is a wasteful number, since it uses less digits than its factorization.

1022144214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690 (or 8683 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1022144214 is about 31970.9901942370. The cubic root of 1022144214 is about 1007.3275800891.

Adding to 1022144214 its reverse (4124412201), we get a palindrome (5146556415).

The spelling of 1022144214 in words is "one billion, twenty-two million, one hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 98 147 182 186 217 273 294 403 434 546 637 651 806 1209 1274 1302 1519 1911 2418 2821 3038 3822 4557 5642 8463 8627 9114 16926 17254 19747 25881 39494 51762 59241 60389 112151 118482 120778 181167 224302 267437 336453 362334 422723 534874 672906 785057 802311 845446 1268169 1570114 1604622 1872059 2355171 2536338 3476681 3744118 4710342 5495399 5616177 6953362 10430043 10990798 11232354 13104413 16486197 20860086 24336767 26208826 32972394 39313239 48673534 73010301 78626478 146020602 170357369 340714738 511072107 1022144214