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10214243232 = 2531492412963
BaseRepresentation
bin10011000001101000…
…01111101110100000
3222100211220022120220
421200310033232200
5131404321240412
64405314403040
7511055430534
oct114064175640
928324808526
1010214243232
114371746136
121b90890480
13c6a1c080b
146cc7b1bc4
153ebacc68c
hex260d0fba0

10214243232 has 96 divisors (see below), whose sum is σ = 27113486400. Its totient is φ = 3366727680.

The previous prime is 10214243201. The next prime is 10214243243. The reversal of 10214243232 is 23234241201.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3445783 + ... + 3448745.

It is an arithmetic number, because the mean of its divisors is an integer number (282432150).

Almost surely, 210214243232 is an apocalyptic number.

10214243232 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 10214243232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13556743200).

10214243232 is an abundant number, since it is smaller than the sum of its proper divisors (16899243168).

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

10214243232 is a wasteful number, since it uses less digits than its factorization.

10214243232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10214243232 its reverse (23234241201), we get a palindrome (33448484433).

The spelling of 10214243232 in words is "ten billion, two hundred fourteen million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 241 298 447 482 596 723 894 964 1192 1446 1788 1928 2384 2892 2963 3576 3856 4768 5784 5926 7152 7712 8889 11568 11852 14304 17778 23136 23704 35556 35909 47408 71112 71818 94816 107727 142224 143636 215454 284448 287272 430908 441487 574544 714083 861816 882974 1149088 1324461 1428166 1723632 1765948 2142249 2648922 2856332 3447264 3531896 4284498 5297844 5712664 7063792 8568996 10595688 11425328 14127584 17137992 21191376 22850656 34275984 42382752 68551968 106398367 212796734 319195101 425593468 638390202 851186936 1276780404 1702373872 2553560808 3404747744 5107121616 10214243232