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10224003132 = 223271917312343
BaseRepresentation
bin10011000010110010…
…11110100000111100
3222101112021011122200
421201121132200330
5131414321100012
64410303511500
7511234410210
oct114131364074
928345234580
1010224003132
114377201972
121b93bb8590
13c6c229cc5
146cdbd2940
153ec8a93dc
hex26165e83c

10224003132 has 144 divisors (see below), whose sum is σ = 31272783360. Its totient is φ = 2751179904.

The previous prime is 10224003131. The next prime is 10224003161. The reversal of 10224003132 is 23130042201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224003131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822153 + ... + 834495.

Almost surely, 210224003132 is an apocalyptic number.

10224003132 is a gapful number since it is divisible by the number (12) 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 10224003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636391680).

10224003132 is an abundant number, since it is smaller than the sum of its proper divisors (21048780228).

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

10224003132 is a wasteful number, since it uses less digits than its factorization.

10224003132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12552 (or 12547 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10224003132 its reverse (23130042201), we get a palindrome (33354045333).

The spelling of 10224003132 in words is "ten billion, two hundred twenty-four million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 173 228 252 266 342 346 399 519 532 684 692 798 1038 1197 1211 1557 1596 2076 2394 2422 3114 3287 3633 4788 4844 6228 6574 7266 9861 10899 12343 13148 14532 19722 21798 23009 24686 29583 37029 39444 43596 46018 49372 59166 69027 74058 86401 92036 111087 118332 138054 148116 172802 207081 222174 234517 259203 276108 345604 414162 444348 469034 518406 703551 777609 828324 938068 1036812 1407102 1555218 1641619 2110653 2135339 2814204 3110436 3283238 4221306 4270678 4924857 6406017 6566476 8442612 8541356 9849714 12812034 14774571 14947373 19218051 19699428 25624068 29549142 29894746 38436102 40571441 44842119 59098284 59789492 76872204 81142882 89684238 121714323 134526357 162285764 179368476 243428646 269052714 284000087 365142969 486857292 538105428 568000174 730285938 852000261 1136000348 1460571876 1704000522 2556000783 3408001044 5112001566 10224003132