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32230020042 = 2341121644221
BaseRepresentation
bin11110000001000011…
…110001001111001010
310002012011110122210000
4132001003301033022
51012001341120132
622450053103430
72220455436003
oct360103611712
9102164418700
1032230020042
111273a008100
1262b5927b76
1330683a789c
1417ba69c1aa
15c897c587c
hex7810f13ca

32230020042 has 60 divisors (see below), whose sum is σ = 79381393938. Its totient is φ = 9766666800.

The previous prime is 32230020019. The next prime is 32230020047. The reversal of 32230020042 is 24002003223.

32230020042 is a `hidden beast` number, since 322 + 300 + 2 + 0 + 0 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29981268801 + 2248751241 = 173151^2 + 47421^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 32230019997 and 32230020024.

It is not an unprimeable number, because it can be changed into a prime (32230020047) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 802509 + ... + 841712.

Almost surely, 232230020042 is an apocalyptic number.

32230020042 is an abundant number, since it is smaller than the sum of its proper divisors (47151373896).

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

32230020042 is a wasteful number, since it uses less digits than its factorization.

32230020042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644257 (or 1644237 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 32230020042 its reverse (24002003223), we get a palindrome (56232023265).

The spelling of 32230020042 in words is "thirty-two billion, two hundred thirty million, twenty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 6534 9801 19602 1644221 3288442 4932663 9865326 14797989 18086431 29595978 36172862 44393967 54259293 88787934 108518586 133181901 162777879 198950741 266363802 325555758 397901482 488333637 596852223 976667274 1193704446 1465000911 1790556669 2930001822 3581113338 5371670007 10743340014 16115010021 32230020042