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100229448 = 233113137331
BaseRepresentation
bin1011111100101…
…10000101001000
320222121011221210
411332112011020
5201124320243
613540133120
72324636064
oct576260510
9228534853
10100229448
1151638960
12296971a0
13179c4087
14d450aa4
158bec933
hex5f96148

100229448 has 128 divisors (see below), whose sum is σ = 290672640. Its totient is φ = 28512000.

The previous prime is 100229443. The next prime is 100229449. The reversal of 100229448 is 844922001.

It is not an unprimeable number, because it can be changed into a prime (100229443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302643 + ... + 302973.

It is an arithmetic number, because the mean of its divisors is an integer number (2270880).

Almost surely, 2100229448 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 100229448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145336320).

100229448 is an abundant number, since it is smaller than the sum of its proper divisors (190443192).

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

100229448 is a wasteful number, since it uses less digits than its factorization.

100229448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 100229448 is about 10011.4658267409. The cubic root of 100229448 is about 464.5136132841.

The spelling of 100229448 in words is "one hundred million, two hundred twenty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 37 44 62 66 74 88 93 111 124 132 148 186 222 248 264 296 331 341 372 407 444 662 682 744 814 888 993 1023 1147 1221 1324 1364 1628 1986 2046 2294 2442 2648 2728 3256 3441 3641 3972 4092 4588 4884 6882 7282 7944 8184 9176 9768 10261 10923 12247 12617 13764 14564 20522 21846 24494 25234 27528 29128 30783 36741 37851 41044 43692 48988 50468 61566 73482 75702 82088 87384 97976 100936 112871 123132 134717 146964 151404 225742 246264 269434 293928 302808 338613 379657 404151 451484 538868 677226 759314 808302 902968 1077736 1138971 1354452 1518628 1616604 2277942 2708904 3037256 3233208 4176227 4555884 8352454 9111768 12528681 16704908 25057362 33409816 50114724 100229448