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244421892 = 2232111379601
BaseRepresentation
bin11101001000110…
…01010100000100
3122000220220210200
432210121110010
51000033000032
640130450500
76025360161
oct1644312404
9560826720
10244421892
11115a73870
1269a33a30
133b83b750
1424667068
15166d147c
hexe919504

244421892 has 144 divisors (see below), whose sum is σ = 736270080. Its totient is φ = 67392000.

The previous prime is 244421873. The next prime is 244421911. The reversal of 244421892 is 298124442.

It is an interprime number because it is at equal distance from previous prime (244421873) and next prime (244421911).

It is a super-2 number, since 2×2444218922 = 119484122577719328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406392 + ... + 406992.

Almost surely, 2244421892 is an apocalyptic number.

244421892 is a gapful number since it is divisible by the number (22) 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 244421892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368135040).

244421892 is an abundant number, since it is smaller than the sum of its proper divisors (491848188).

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

244421892 is a wasteful number, since it uses less digits than its factorization.

244421892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 709 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 244421892 is about 15633.9979531788. The cubic root of 244421892 is about 625.2399223945.

It can be divided in two parts, 24442 and 1892, that multiplied together give a palindrome (46244264).

The spelling of 244421892 in words is "two hundred forty-four million, four hundred twenty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 79 99 117 132 143 156 158 198 234 237 286 316 396 429 468 474 572 601 711 858 869 948 1027 1202 1287 1422 1716 1738 1803 2054 2404 2574 2607 2844 3081 3476 3606 4108 5148 5214 5409 6162 6611 7212 7813 7821 9243 10428 10818 11297 12324 13222 15626 15642 18486 19833 21636 22594 23439 26444 31252 31284 33891 36972 39666 45188 46878 47479 59499 67782 70317 79332 85943 93756 94958 101673 118998 135564 140634 142437 171886 189916 203346 237996 257829 281268 284874 343772 406692 427311 515658 522269 569748 617227 773487 854622 1031316 1044538 1234454 1546974 1566807 1709244 1851681 2089076 2468908 3093948 3133614 3703362 4700421 5555043 6267228 6789497 7406724 9400842 11110086 13578994 18801684 20368491 22220172 27157988 40736982 61105473 81473964 122210946 244421892