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10233221010 = 2352921615443
BaseRepresentation
bin10011000011111001…
…01000111110010010
3222102011121111012120
421201330220332102
5131424201033020
64411233235110
7511405641405
oct114174507622
928364544176
1010233221010
114381428451
121b97102a96
13c7110687c
146d1111d3c
153ed5ca740
hex261f28f92

10233221010 has 64 divisors (see below), whose sum is σ = 25423044480. Its totient is φ = 2633057280.

The previous prime is 10233220999. The next prime is 10233221027. The reversal of 10233221010 is 1012233201.

10233221010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1877349 + ... + 1882791.

It is an arithmetic number, because the mean of its divisors is an integer number (397235070).

Almost surely, 210233221010 is an apocalyptic number.

10233221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12711522240).

10233221010 is an abundant number, since it is smaller than the sum of its proper divisors (15189823470).

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

10233221010 is a wasteful number, since it uses less digits than its factorization.

10233221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10233221010 its reverse (1012233201), we get a palindrome (11245454211).

The spelling of 10233221010 in words is "ten billion, two hundred thirty-three million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 2161 4322 5443 6483 10805 10886 12966 16329 21610 27215 32415 32658 54430 62669 64830 81645 125338 157847 163290 188007 313345 315694 376014 473541 626690 789235 940035 947082 1578470 1880070 2367705 4735410 11762323 23524646 35286969 58811615 70573938 117623230 176434845 341107367 352869690 682214734 1023322101 1705536835 2046644202 3411073670 5116610505 10233221010