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10222017408 = 273267132437
BaseRepresentation
bin10011000010100011…
…11001101110000000
3222101101112021202100
421201101321232000
5131413314024113
64410153150400
7511211500011
oct114121715600
928341467670
1010222017408
114376075a79
121b933bb400
13c6b9b3215
146cd837008
153ec615d73
hex261479b80

10222017408 has 96 divisors (see below), whose sum is σ = 29854173960. Its totient is φ = 3356457984.

The previous prime is 10222017391. The next prime is 10222017479. The reversal of 10222017408 is 80471022201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10966 + ... + 143402.

Almost surely, 210222017408 is an apocalyptic number.

10222017408 is a gapful number since it is divisible by the number (18) 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 10222017408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14927086980).

10222017408 is an abundant number, since it is smaller than the sum of its proper divisors (19632156552).

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

10222017408 is a wasteful number, since it uses less digits than its factorization.

10222017408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132524 (or 132509 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 10222017408 its reverse (80471022201), we get a palindrome (90693039609).

The spelling of 10222017408 in words is "ten billion, two hundred twenty-two million, seventeen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 384 402 536 576 603 804 1072 1152 1206 1608 2144 2412 3216 4288 4824 6432 8576 9648 12864 19296 25728 38592 77184 132437 264874 397311 529748 794622 1059496 1191933 1589244 2118992 2383866 3178488 4237984 4767732 6356976 8475968 8873279 9535464 12713952 16951936 17746558 19070928 25427904 26619837 35493116 38141856 50855808 53239674 70986232 76283712 79859511 106479348 141972464 152567424 159719022 212958696 283944928 319438044 425917392 567889856 638876088 851834784 1135779712 1277752176 1703669568 2555504352 3407339136 5111008704 10222017408