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10223002240 = 275111452131
BaseRepresentation
bin10011000010101011…
…01010001010000000
3222101110101022200121
421201111222022000
5131414042032430
64410230230024
7511223041153
oct114125521200
928343338617
1010223002240
114376688990
121b937b5314
13c6bc69569
146cda11c9a
153ec75ca7a
hex26156a280

10223002240 has 64 divisors (see below), whose sum is σ = 26661143520. Its totient is φ = 3717452800.

The previous prime is 10223002133. The next prime is 10223002249. The reversal of 10223002240 is 4220032201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10223002249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719026 + ... + 733105.

Almost surely, 210223002240 is an apocalyptic number.

10223002240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223002240 is an abundant number, since it is smaller than the sum of its proper divisors (16438141280).

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

10223002240 is a wasteful number, since it uses less digits than its factorization.

10223002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452161 (or 1452149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10223002240 its reverse (4220032201), we get a palindrome (14443034441).

The spelling of 10223002240 in words is "ten billion, two hundred twenty-three million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1452131 2904262 5808524 7260655 11617048 14521310 15973441 23234096 29042620 31946882 46468192 58085240 63893764 79867205 92936384 116170480 127787528 159734410 185872768 232340960 255575056 319468820 464681920 511150112 638937640 929363840 1022300224 1277875280 2044600448 2555750560 5111501120 10223002240