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102226944 = 2103107311
BaseRepresentation
bin1100001011111…
…01110000000000
321010100200000010
412011331300000
5202132230234
614051024520
72350625511
oct605756000
9233320003
10102226944
1152782686
122a29b140
1318243321
14d810a08
158e946e9
hex617dc00

102226944 has 88 divisors (see below), whose sum is σ = 275902848. Its totient is φ = 33648640.

The previous prime is 102226921. The next prime is 102226951. The reversal of 102226944 is 449622201.

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 7 ways as a sum of consecutive naturals, for example, 328549 + ... + 328859.

Almost surely, 2102226944 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 102226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137951424).

102226944 is an abundant number, since it is smaller than the sum of its proper divisors (173675904).

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

102226944 is a wasteful number, since it uses less digits than its factorization.

102226944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 102226944 is about 10110.7340979773. The cubic root of 102226944 is about 467.5791380417.

It can be divided in two parts, 1022 and 26944, that added together give a triangular number (27966 = T236).

The spelling of 102226944 in words is "one hundred two million, two hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 311 321 384 428 512 622 642 768 856 933 1024 1244 1284 1536 1712 1866 2488 2568 3072 3424 3732 4976 5136 6848 7464 9952 10272 13696 14928 19904 20544 27392 29856 33277 39808 41088 54784 59712 66554 79616 82176 99831 109568 119424 133108 159232 164352 199662 238848 266216 318464 328704 399324 477696 532432 798648 955392 1064864 1597296 2129728 3194592 4259456 6389184 8518912 12778368 17037824 25556736 34075648 51113472 102226944