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10224423432 = 2332657121611
BaseRepresentation
bin10011000010110110…
…00101001000001000
3222101120001112012100
421201123011020020
5131414423022212
64410320513400
7511241110446
oct114133051010
928346045170
1010224423432
114377469723
121b9417b860
13c6c3463c2
146cdca1b96
153ec93dbdc
hex2616c5208

10224423432 has 48 divisors (see below), whose sum is σ = 27696642480. Its totient is φ = 3407464800.

The previous prime is 10224423409. The next prime is 10224423449. The reversal of 10224423432 is 23432442201.

10224423432 is a `hidden beast` number, since 1 + 0 + 224 + 4 + 2 + 3 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10224423396 and 10224423405.

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, 462307 + ... + 483917.

It is an arithmetic number, because the mean of its divisors is an integer number (577013385).

Almost surely, 210224423432 is an apocalyptic number.

10224423432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10224423432 is an abundant number, since it is smaller than the sum of its proper divisors (17472219048).

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

10224423432 is a wasteful number, since it uses less digits than its factorization.

10224423432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28194 (or 28187 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10224423432 its reverse (23432442201), we get a palindrome (33656865633).

The spelling of 10224423432 in words is "ten billion, two hundred twenty-four million, four hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6571 13142 19713 21611 26284 39426 43222 52568 59139 64833 78852 86444 118278 129666 157704 172888 194499 236556 259332 388998 473112 518664 777996 1555992 142005881 284011762 426017643 568023524 852035286 1136047048 1278052929 1704070572 2556105858 3408141144 5112211716 10224423432