Search a number
-
+
922147185152 = 29312374
BaseRepresentation
bin11010110101101000100…
…00010110001000000000
310021011020000121122210002
431122310100112020000
5110102024134411102
61543343434255132
7123423444513314
oct15326420261000
93234200548702
10922147185152
113260980558a6
1212a8752874a8
1368c5bc629ab
14328bc91bb44
1518ec1a30902
hexd6b4416200

922147185152 has 150 divisors (see below), whose sum is σ = 1956730414419. Its totient is φ = 434140784640.

The previous prime is 922147185143. The next prime is 922147185181. The reversal of 922147185152 is 251581741229.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 907858329856 + 14288855296 = 952816^2 + 119536^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=679024.

Its product of digits (403200) is a multiple of the sum of its prime divisors (70).

It is a junction number, because it is equal to n+sod(n) for n = 922147185097 and 922147185106.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24922896878 + ... + 24922896914.

Almost surely, 2922147185152 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 922147185152

922147185152 is an abundant number, since it is smaller than the sum of its proper divisors (1034583229267).

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

922147185152 is an frugal number, since it uses more digits than its factorization.

922147185152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 70 counting only the distinct ones).

The product of its digits is 403200, while the sum is 47.

The spelling of 922147185152 in words is "nine hundred twenty-two billion, one hundred forty-seven million, one hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 256 296 496 512 592 961 992 1147 1184 1369 1922 1984 2294 2368 2738 3844 3968 4588 4736 5476 7688 7936 9176 9472 10952 15376 15872 18352 18944 21904 30752 35557 36704 42439 43808 50653 61504 71114 73408 84878 87616 101306 123008 142228 146816 169756 175232 202612 246016 284456 293632 339512 350464 405224 492032 568912 587264 679024 700928 810448 1137824 1315609 1358048 1570243 1620896 1874161 2275648 2631218 2716096 3140486 3241792 3748322 4551296 5262436 5432192 6280972 6483584 7496644 9102592 10524872 10864384 12561944 12967168 14993288 18205184 21049744 21728768 25123888 25934336 29986576 42099488 48677533 50247776 58098991 59973152 84198976 97355066 100495552 116197982 119946304 168397952 194710132 200991104 232395964 239892608 336795904 389420264 401982208 464791928 479785216 673591808 778840528 803964416 929583856 959570432 1557681056 1801068721 1859167712 3115362112 3602137442 3718335424 6230724224 7204274884 7436670848 12461448448 14408549768 14873341696 24922896896 28817099536 29746683392 57634199072 115268398144 230536796288 461073592576 922147185152