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1022144244 = 22311172811621
BaseRepresentation
bin111100111011001…
…010111011110100
32122020100022022020
4330323022323310
54043132103434
6245232033140
734221040242
oct7473127364
92566308266
101022144244
11484a79110
122463927b0
131339c15a4
1499a73792
155eb07849
hex3cecaef4

1022144244 has 96 divisors (see below), whose sum is σ = 2766379392. Its totient is φ = 290304000.

The previous prime is 1022144231. The next prime is 1022144257. The reversal of 1022144244 is 4424412201.

It is an interprime number because it is at equal distance from previous prime (1022144231) and next prime (1022144257).

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 31 ways as a sum of consecutive naturals, for example, 629754 + ... + 631374.

It is an arithmetic number, because the mean of its divisors is an integer number (28816452).

Almost surely, 21022144244 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 1022144244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383189696).

1022144244 is an abundant number, since it is smaller than the sum of its proper divisors (1744235148).

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

1022144244 is a wasteful number, since it uses less digits than its factorization.

1022144244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1022144244 is about 31970.9906634124. The cubic root of 1022144244 is about 1007.3275899441.

Adding to 1022144244 its reverse (4424412201), we get a palindrome (5446556445).

The spelling of 1022144244 in words is "one billion, twenty-two million, one hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 281 374 561 562 748 843 1122 1124 1621 1686 2244 3091 3242 3372 4777 4863 6182 6484 9273 9554 9726 12364 14331 17831 18546 19108 19452 27557 28662 35662 37092 52547 53493 55114 57324 71324 82671 105094 106986 110228 157641 165342 210188 213972 303127 315282 330684 455501 606254 630564 909381 911002 1212508 1366503 1818762 1822004 2733006 3637524 5010511 5466012 7743517 10021022 15031533 15487034 20042044 23230551 30063066 30974068 46461102 60126132 85178687 92922204 170357374 255536061 340714748 511072122 1022144244